13482564404400 has 2700 divisors, whose sum is σ = 62955768769344. Its totient is φ = 2751211008000.

The previous prime is 13482564404389. The next prime is 13482564404411. The reversal of 13482564404400 is 440446528431.

It is a happy number.

13482564404400 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 2 + 564 + 40 + 4 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13482564404389) and next prime (13482564404411).

It is a tau number, because it is divible by the number of its divisors (2700).

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

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 539 ways as a sum of consecutive naturals, for example, 8317435590 + ... + 8317437210.

Almost surely, 2^{13482564404400} is an apocalyptic number.

13482564404400 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 13482564404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31477884384672).

13482564404400 is an abundant number, since it is smaller than the sum of its proper divisors (49473204364944).

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

13482564404400 is a wasteful number, since it uses less digits than its factorization.

13482564404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 13482564404400 in words is "thirteen trillion, four hundred eighty-two billion, five hundred sixty-four million, four hundred four thousand, four hundred".