14791424400 has 135 divisors (see below), whose sum is σ = 51355687201. Its totient is φ = 3942433920.

The previous prime is 14791424383. The next prime is 14791424429. The reversal of 14791424400 is 442419741.

The square root of 14791424400 is 121620.

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

14791424400 is a `hidden beast` number, since 1 + 4 + 79 + 142 + 440 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5324912784 + 9466511616 = 72972^2 + 97296^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7296187 + ... + 7298213.

Almost surely, 2^14791424400 is an apocalyptic number.

14791424400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14791424400 is the 121620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14791424400

14791424400 is an abundant number, since it is smaller than the sum of its proper divisors (36564262801).

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

14791424400 is an equidigital number, since it uses as much as digits as its factorization.

14791424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4078 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Multiplying 14791424400 by its sum of digits (36), we get a square (532491278400 = 729720²).

14791424400 divided by its sum of digits (36) gives a square (410872900 = 20270²).

The spelling of 14791424400 in words is "fourteen billion, seven hundred ninety-one million, four hundred twenty-four thousand, four hundred".