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400880088440 = 235131069721163
BaseRepresentation
bin1011101010101100101…
…00001011010101111000
31102022202000121111100222
411311112110023111320
523032000300312230
6504054535315212
740651116346346
oct5652624132570
91368660544328
10400880088440
111450153a4917
1265839b1bb08
132ba58a82930
141558d018996
15a663ce06e5
hex5d5650b578

400880088440 has 64 divisors (see below), whose sum is σ = 972273304800. Its totient is φ = 147878595072.

The previous prime is 400880088431. The next prime is 400880088463. The reversal of 400880088440 is 44880088004.

It is a junction number, because it is equal to n+sod(n) for n = 400880088391 and 400880088400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195299 + ... + 916461.

Almost surely, 2400880088440 is an apocalyptic number.

400880088440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400880088440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486136652400).

400880088440 is an abundant number, since it is smaller than the sum of its proper divisors (571393216360).

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

400880088440 is a wasteful number, since it uses less digits than its factorization.

400880088440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722256 (or 722252 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 44.

The spelling of 400880088440 in words is "four hundred billion, eight hundred eighty million, eighty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1069 2138 4276 5345 8552 10690 13897 21380 27794 42760 55588 69485 111176 138970 277940 555880 721163 1442326 2884652 3605815 5769304 7211630 9375119 14423260 18750238 28846520 37500476 46875595 75000952 93751190 187502380 375004760 770923247 1541846494 3083692988 3854616235 6167385976 7709232470 10022002211 15418464940 20044004422 30836929880 40088008844 50110011055 80176017688 100220022110 200440044220 400880088440