12740083574400 has 3840 divisors, whose sum is σ = 60249102144000. Its totient is φ = 2633637888000.

The previous prime is 12740083574279. The next prime is 12740083574411. The reversal of 12740083574400 is 447538004721.

12740083574400 is a `hidden beast` number, since 1 + 2 + 74 + 0 + 0 + 8 + 3 + 574 + 4 + 0 + 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 479 ways as a sum of consecutive naturals, for example, 84371414325 + ... + 84371414475.

It is an arithmetic number, because the mean of its divisors is an integer number (15689870350).

Almost surely, 2^{12740083574400} is an apocalyptic number.

12740083574400 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 12740083574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30124551072000).

12740083574400 is an abundant number, since it is smaller than the sum of its proper divisors (47509018569600).

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

12740083574400 is a wasteful number, since it uses less digits than its factorization.

12740083574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 12740083574400 in words is "twelve trillion, seven hundred forty billion, eighty-three million, five hundred seventy-four thousand, four hundred".