13438601628400 has 120 divisors (see below), whose sum is σ = 34772258762864. Its totient is φ = 4961593958400.

The previous prime is 13438601628373. The next prime is 13438601628401. The reversal of 13438601628400 is 482610683431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13438601628401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80136640 + ... + 80304160.

Almost surely, 2^{13438601628400} is an apocalyptic number.

13438601628400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13438601628400 is an abundant number, since it is smaller than the sum of its proper divisors (21333657134464).

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

13438601628400 is a wasteful number, since it uses less digits than its factorization.

13438601628400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182979 (or 182968 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The spelling of 13438601628400 in words is "thirteen trillion, four hundred thirty-eight billion, six hundred one million, six hundred twenty-eight thousand, four hundred".