12952771430400 has 1440 divisors, whose sum is σ = 52046870115240. Its totient is φ = 3170893824000.

The previous prime is 12952771430369. The next prime is 12952771430447. The reversal of 12952771430400 is 403417725921.

12952771430400 is a `hidden beast` number, since 1 + 2 + 95 + 27 + 71 + 430 + 40 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 907096237056 + 12045675193344 = 952416^2 + 3470688^2 .

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 119 ways as a sum of consecutive naturals, for example, 2890596160 + ... + 2890600640.

Almost surely, 2^{12952771430400} is an apocalyptic number.

12952771430400 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 12952771430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26023435057620).

12952771430400 is an abundant number, since it is smaller than the sum of its proper divisors (39094098684840).

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

12952771430400 is a wasteful number, since it uses less digits than its factorization.

12952771430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4583 (or 4549 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 12952771430400 in words is "twelve trillion, nine hundred fifty-two billion, seven hundred seventy-one million, four hundred thirty thousand, four hundred".