10791042662400 has 2880 divisors, whose sum is σ = 49627906277376. Its totient is φ = 1995964416000.

The previous prime is 10791042662399. The next prime is 10791042662437. The reversal of 10791042662400 is 426624019701.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38130892659 + ... + 38130892941.

Almost surely, 2^{10791042662400} is an apocalyptic number.

10791042662400 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 10791042662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24813953138688).

10791042662400 is an abundant number, since it is smaller than the sum of its proper divisors (38836863614976).

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

10791042662400 is a wasteful number, since it uses less digits than its factorization.

10791042662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 10791042662400 in words is "ten trillion, seven hundred ninety-one billion, forty-two million, six hundred sixty-two thousand, four hundred".