14332968400 has 30 divisors (see below), whose sum is σ = 34434957542. Its totient is φ = 5733187200.

The previous prime is 14332968347. The next prime is 14332968427. The reversal of 14332968400 is 486923341.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 5125414464 + 9207553936 = 71592^2 + 95956^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17915811 + ... + 17916610.

Almost surely, 2^14332968400 is an apocalyptic number.

14332968400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14332968400 is an abundant number, since it is smaller than the sum of its proper divisors (20101989142).

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

14332968400 is a wasteful number, since it uses less digits than its factorization.

14332968400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35832439 (or 35832428 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 14332968400 in words is "fourteen billion, three hundred thirty-two million, nine hundred sixty-eight thousand, four hundred".