23242142400 has 84 divisors (see below), whose sum is σ = 76253611272. Its totient is φ = 6197903360.

The previous prime is 23242142393. The next prime is 23242142419. The reversal of 23242142400 is 424124232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2416257 + ... + 2425856.

Almost surely, 2^23242142400 is an apocalyptic number.

23242142400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23242142400 is an abundant number, since it is smaller than the sum of its proper divisors (53011468872).

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

23242142400 is a wasteful number, since it uses less digits than its factorization.

23242142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4842138 (or 4842123 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 23242142400 its reverse (424124232), we get a palindrome (23666266632).

The spelling of 23242142400 in words is "twenty-three billion, two hundred forty-two million, one hundred forty-two thousand, four hundred".