13643020032400 has 120 divisors (see below), whose sum is σ = 36910570929408. Its totient is φ = 4801062720000.

The previous prime is 13643020032379. The next prime is 13643020032463. The reversal of 13643020032400 is 423002034631.

It is a super-2 number, since 2×13643020032400² (a number of 27 digits) contains 22 as substring.

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, 49874671 + ... + 50147470.

Almost surely, 2^{13643020032400} is an apocalyptic number.

13643020032400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13643020032400 is an abundant number, since it is smaller than the sum of its proper divisors (23267550897008).

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

13643020032400 is a wasteful number, since it uses less digits than its factorization.

13643020032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100022201 (or 100022190 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The spelling of 13643020032400 in words is "thirteen trillion, six hundred forty-three billion, twenty million, thirty-two thousand, four hundred".