13921550400 has 336 divisors, whose sum is σ = 48692312064. Its totient is φ = 3474155520.

The previous prime is 13921550399. The next prime is 13921550407. The reversal of 13921550400 is 405512931.

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

It is not an unprimeable number, because it can be changed into a prime (13921550407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5187459 + ... + 5190141.

Almost surely, 2^13921550400 is an apocalyptic number.

13921550400 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 13921550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24346156032).

13921550400 is an abundant number, since it is smaller than the sum of its proper divisors (34770761664).

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

13921550400 is a wasteful number, since it uses less digits than its factorization.

13921550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 13921550400 in words is "thirteen billion, nine hundred twenty-one million, five hundred fifty thousand, four hundred".