10440961896960 has 1200 divisors, whose sum is σ = 43631570543616. Its totient is φ = 2379387322368.

The previous prime is 10440961896941. The next prime is 10440961897031. The reversal of 10440961896960 is 6969816904401.

10440961896960 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 0 + 9 + 618 + 9 + 6 + 9 + 6 + 0 = 666.

10440961896960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3891523779 + ... + 3891526461.

Almost surely, 2^{10440961896960} is an apocalyptic number.

10440961896960 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 10440961896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21815785271808).

10440961896960 is an abundant number, since it is smaller than the sum of its proper divisors (33190608646656).

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

10440961896960 is an equidigital number, since it uses as much as digits as its factorization.

10440961896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3115 (or 3083 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 10440961896960 in words is "ten trillion, four hundred forty billion, nine hundred sixty-one million, eight hundred ninety-six thousand, nine hundred sixty".