10944041232960 has 1792 divisors, whose sum is σ = 44494206566400. Its totient is φ = 2560742553600.

The previous prime is 10944041232953. The next prime is 10944041232977. The reversal of 10944041232960 is 6923214044901.

10944041232960 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 404 + 1 + 232 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28876098051 + ... + 28876098429.

Almost surely, 2^{10944041232960} is an apocalyptic number.

10944041232960 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 10944041232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22247103283200).

10944041232960 is an abundant number, since it is smaller than the sum of its proper divisors (33550165333440).

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

10944041232960 is an frugal number, since it uses more digits than its factorization.

10944041232960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 10944041232960 in words is "ten trillion, nine hundred forty-four billion, forty-one million, two hundred thirty-two thousand, nine hundred sixty".