13712444400 has 120 divisors (see below), whose sum is σ = 46237477120. Its totient is φ = 3464190720.

The previous prime is 13712444377. The next prime is 13712444411. The reversal of 13712444400 is 444421731.

13712444400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×13712444400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277912 + ... + 323511.

Almost surely, 2^13712444400 is an apocalyptic number.

13712444400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13712444400 is an abundant number, since it is smaller than the sum of its proper divisors (32525032720).

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

13712444400 is a wasteful number, since it uses less digits than its factorization.

13712444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601463 (or 601452 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The spelling of 13712444400 in words is "thirteen billion, seven hundred twelve million, four hundred forty-four thousand, four hundred".