10440991852800 has 432 divisors, whose sum is σ = 35968812848640. Its totient is φ = 2664161280000.

The previous prime is 10440991852777. The next prime is 10440991852847. The reversal of 10440991852800 is 825819904401.

10440991852800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52874250 + ... + 53071350.

Almost surely, 2^{10440991852800} is an apocalyptic number.

10440991852800 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 10440991852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17984406424320).

10440991852800 is an abundant number, since it is smaller than the sum of its proper divisors (25527820995840).

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

10440991852800 is a wasteful number, since it uses less digits than its factorization.

10440991852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197250 (or 197231 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 10440991852800 in words is "ten trillion, four hundred forty billion, nine hundred ninety-one million, eight hundred fifty-two thousand, eight hundred".