14757390400 has 63 divisors (see below), whose sum is σ = 36324364359. Its totient is φ = 5901012480.

The previous prime is 14757390397. The next prime is 14757390407. The reversal of 14757390400 is 409375741.

The square root of 14757390400 is 121480.

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

It can be written as a sum of positive squares in 4 ways, for example, as 844716096 + 13912674304 = 29064^2 + 117952^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14757390407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4857682 + ... + 4860718.

Almost surely, 2^14757390400 is an apocalyptic number.

14757390400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14757390400 is the 121480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14757390400

14757390400 is an abundant number, since it is smaller than the sum of its proper divisors (21566973959).

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

14757390400 is an frugal number, since it uses more digits than its factorization.

14757390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6096 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The spelling of 14757390400 in words is "fourteen billion, seven hundred fifty-seven million, three hundred ninety thousand, four hundred".