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4040426707440 = 243531195397599
BaseRepresentation
bin111010110010111100001…
…100101101100111110000
3112022021001021200012222220
4322302330030231213300
51012144243214114230
612332051342401040
7564624353231664
oct72627414554760
915267037605886
104040426707440
1113185985a7292
1255308a890180
1323401a3b09b6
14dd7b44648a4
157017a17dd10
hex3acbc32d9f0

4040426707440 has 80 divisors (see below), whose sum is σ = 12529340928000. Its totient is φ = 1077101476096.

The previous prime is 4040426707439. The next prime is 4040426707489. The reversal of 4040426707440 is 447076240404.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4040426707392 and 4040426707401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1950240 + ... + 3447359.

It is an arithmetic number, because the mean of its divisors is an integer number (156616761600).

Almost surely, 24040426707440 is an apocalyptic number.

4040426707440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4040426707440 is an abundant number, since it is smaller than the sum of its proper divisors (8488914220560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4040426707440 is a wasteful number, since it uses less digits than its factorization.

4040426707440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5400734 (or 5400728 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 42.

The spelling of 4040426707440 in words is "four trillion, forty billion, four hundred twenty-six million, seven hundred seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3119 6238 9357 12476 15595 18714 24952 31190 37428 46785 49904 62380 74856 93570 124760 149712 187140 249520 374280 748560 5397599 10795198 16192797 21590396 26987995 32385594 43180792 53975990 64771188 80963985 86361584 107951980 129542376 161927970 215903960 259084752 323855940 431807920 647711880 1295423760 16835111281 33670222562 50505333843 67340445124 84175556405 101010667686 134680890248 168351112810 202021335372 252526669215 269361780496 336702225620 404042670744 505053338430 673404451240 808085341488 1010106676860 1346808902480 2020213353720 4040426707440