10641054164400 has 360 divisors, whose sum is σ = 41630401681680. Its totient is φ = 2579649177600.

The previous prime is 10641054164333. The next prime is 10641054164407. The reversal of 10641054164400 is 446145014601.

10641054164400 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 1 + 0 + 5 + 4 + 1 + 644 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×10641054164400² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10641054164407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2764617 + ... + 5378216.

Almost surely, 2^{10641054164400} is an apocalyptic number.

10641054164400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10641054164400 is an abundant number, since it is smaller than the sum of its proper divisors (30989347517280).

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

10641054164400 is a wasteful number, since it uses less digits than its factorization.

10641054164400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8142882 (or 8142854 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 10641054164400 in words is "ten trillion, six hundred forty-one billion, fifty-four million, one hundred sixty-four thousand, four hundred".