10431657023040 has 1792 divisors, whose sum is σ = 43004597760000. Its totient is φ = 2353990533120.

The previous prime is 10431657023017. The next prime is 10431657023041. The reversal of 10431657023040 is 4032075613401.

10431657023040 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 16 + 570 + 2 + 30 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10431657022986 and 10431657023004.

It is not an unprimeable number, because it can be changed into a prime (10431657023041) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 36860978739 + ... + 36860979021.

Almost surely, 2^{10431657023040} is an apocalyptic number.

10431657023040 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 10431657023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21502298880000).

10431657023040 is an abundant number, since it is smaller than the sum of its proper divisors (32572940736960).

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

10431657023040 is a wasteful number, since it uses less digits than its factorization.

10431657023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 10431657023040 in words is "ten trillion, four hundred thirty-one billion, six hundred fifty-seven million, twenty-three thousand, forty".