13972358400 has 864 divisors, whose sum is σ = 61997365248. Its totient is φ = 2676326400.

The previous prime is 13972358383. The next prime is 13972358401. The reversal of 13972358400 is 485327931.

It is a super-3 number, since 3×13972358400³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13972358401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19218837 + ... + 19219563.

Almost surely, 2^13972358400 is an apocalyptic number.

13972358400 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 13972358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30998682624).

13972358400 is an abundant number, since it is smaller than the sum of its proper divisors (48025006848).

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

13972358400 is a wasteful number, since it uses less digits than its factorization.

13972358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 13972358400 in words is "thirteen billion, nine hundred seventy-two million, three hundred fifty-eight thousand, four hundred".