13621361400 has 144 divisors (see below), whose sum is σ = 46718661600. Its totient is φ = 3555056640.

The previous prime is 13621361387. The next prime is 13621361441. The reversal of 13621361400 is 416312631.

13621361400 is a `hidden beast` number, since 1 + 3 + 621 + 36 + 1 + 4 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4096 + ... + 165104.

It is an arithmetic number, because the mean of its divisors is an integer number (324435150).

Almost surely, 2^13621361400 is an apocalyptic number.

13621361400 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 13621361400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23359330800).

13621361400 is an abundant number, since it is smaller than the sum of its proper divisors (33097300200).

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

13621361400 is a wasteful number, since it uses less digits than its factorization.

13621361400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161078 (or 161066 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 13621361400 in words is "thirteen billion, six hundred twenty-one million, three hundred sixty-one thousand, four hundred".