14020556400 has 180 divisors, whose sum is σ = 49573923048. Its totient is φ = 3668221440.

The previous prime is 14020556357. The next prime is 14020556413. The reversal of 14020556400 is 465502041.

14020556400 is a `hidden beast` number, since 1 + 4 + 0 + 205 + 56 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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, 154059 + ... + 227541.

Almost surely, 2^14020556400 is an apocalyptic number.

14020556400 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 14020556400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24786961524).

14020556400 is an abundant number, since it is smaller than the sum of its proper divisors (35553366648).

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

14020556400 is a wasteful number, since it uses less digits than its factorization.

14020556400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73560 (or 73546 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 14020556400 in words is "fourteen billion, twenty million, five hundred fifty-six thousand, four hundred".