12757403318400 has 1440 divisors, whose sum is σ = 51293843211600. Its totient is φ = 3120821084160.

The previous prime is 12757403318381. The next prime is 12757403318411. The reversal of 12757403318400 is 481330475721.

12757403318400 is a `hidden beast` number, since 1 + 2 + 7 + 574 + 0 + 3 + 31 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 179 ways as a sum of consecutive naturals, for example, 7841058387 + ... + 7841060013.

Almost surely, 2^{12757403318400} is an apocalyptic number.

12757403318400 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 12757403318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25646921605800).

12757403318400 is an abundant number, since it is smaller than the sum of its proper divisors (38536439893200).

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

12757403318400 is a wasteful number, since it uses less digits than its factorization.

12757403318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 12757403318400 in words is "twelve trillion, seven hundred fifty-seven billion, four hundred three million, three hundred eighteen thousand, four hundred".