14132424400 has 60 divisors (see below), whose sum is σ = 33975097900. Its totient is φ = 5649315840.

The previous prime is 14132424389. The next prime is 14132424443. The reversal of 14132424400 is 442423141.

It can be written as a sum of positive squares in 6 ways, for example, as 478034496 + 13654389904 = 21864^2 + 116852^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 657016 + ... + 678184.

Almost surely, 2^14132424400 is an apocalyptic number.

14132424400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14132424400 is an abundant number, since it is smaller than the sum of its proper divisors (19842673500).

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

14132424400 is a wasteful number, since it uses less digits than its factorization.

14132424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22856 (or 22845 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 14132424400 its reverse (442423141), we get a palindrome (14574847541).

The spelling of 14132424400 in words is "fourteen billion, one hundred thirty-two million, four hundred twenty-four thousand, four hundred".