10431405600 has 576 divisors, whose sum is σ = 43269230592. Its totient is φ = 2119680000.

The previous prime is 10431405587. The next prime is 10431405617. The reversal of 10431405600 is 650413401.

It is a super-2 number, since 2×10431405600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8685000 + ... + 8686200.

It is an arithmetic number, because the mean of its divisors is an integer number (75120192).

Almost surely, 2^10431405600 is an apocalyptic number.

10431405600 is a gapful number since it is divisible by the number (10) 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 10431405600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21634615296).

10431405600 is an abundant number, since it is smaller than the sum of its proper divisors (32837824992).

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

10431405600 is a wasteful number, since it uses less digits than its factorization.

10431405600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 10431405600 in words is "ten billion, four hundred thirty-one million, four hundred five thousand, six hundred".