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4040440407640 = 2357131110011101
BaseRepresentation
bin111010110010111101000…
…000111110011001011000
3112022021002020110021010201
4322302331000332121120
51012144310221021030
612332052552151544
7564624610542160
oct72627500763130
915267066407121
104040440407640
1113185a530446a
125530933985b4
13234020199820
14dd7b61cd5a0
157017b4882ca
hex3acbd03e658

4040440407640 has 64 divisors (see below), whose sum is σ = 11188911908160. Its totient is φ = 1278732787200.

The previous prime is 4040440407607. The next prime is 4040440407649. The reversal of 4040440407640 is 467040440404.

It is a self number, because there is not a number n which added to its sum of digits gives 4040440407640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040440407649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555001911 + ... + 555009190.

It is an arithmetic number, because the mean of its divisors is an integer number (174826748565).

Almost surely, 24040440407640 is an apocalyptic number.

4040440407640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4040440407640 is an abundant number, since it is smaller than the sum of its proper divisors (7148471500520).

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

4040440407640 is a wasteful number, since it uses less digits than its factorization.

4040440407640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110011132 (or 1110011128 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 37.

The spelling of 4040440407640 in words is "four trillion, forty billion, four hundred forty million, four hundred seven thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 1110011101 2220022202 4440044404 5550055505 7770077707 8880088808 11100111010 14430144313 15540155414 22200222020 28860288626 31080310828 38850388535 44400444040 57720577252 62160621656 72150721565 77700777070 101011010191 115441154504 144301443130 155401554140 202022020382 288602886260 310803108280 404044040764 505055050955 577205772520 808088081528 1010110101910 2020220203820 4040440407640