13978027238400 has 297 divisors, whose sum is σ = 50054376672651. Its totient is φ = 3726995374080.

The previous prime is 13978027238387. The next prime is 13978027238401. The reversal of 13978027238400 is 483272087931.

The square root of 13978027238400 is 3738720.

It is a perfect power (a square), and thus also a powerful number.

13978027238400 is a `hidden beast` number, since 1 + 3 + 97 + 80 + 2 + 72 + 3 + 8 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35151750144 + 13942875488256 = 187488^2 + 3734016^2 .

It is not an unprimeable number, because it can be changed into a prime (13978027238401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1794581706 + ... + 1794589494.

Almost surely, 2^{13978027238400} is an apocalyptic number.

13978027238400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13978027238400 is the 3738720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13978027238400

13978027238400 is an abundant number, since it is smaller than the sum of its proper divisors (36076349434251).

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

13978027238400 is an frugal number, since it uses more digits than its factorization.

13978027238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15614 (or 7799 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 13978027238400 in words is "thirteen trillion, nine hundred seventy-eight billion, twenty-seven million, two hundred thirty-eight thousand, four hundred".