10040440313200 has 120 divisors (see below), whose sum is σ = 26632131434496. Its totient is φ = 3607080288000.

The previous prime is 10040440313179. The next prime is 10040440313213. The reversal of 10040440313200 is 231304404001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 13381296 + ... + 14111695.

Almost surely, 2^{10040440313200} is an apocalyptic number.

10040440313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10040440313200 is an abundant number, since it is smaller than the sum of its proper divisors (16591691121296).

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

10040440313200 is a wasteful number, since it uses less digits than its factorization.

10040440313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27493103 (or 27493092 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10040440313200 its reverse (231304404001), we get a palindrome (10271744717201).

The spelling of 10040440313200 in words is "ten trillion, forty billion, four hundred forty million, three hundred thirteen thousand, two hundred".