24040042400 has 72 divisors (see below), whose sum is σ = 64023027264. Its totient is φ = 8741830400.

The previous prime is 24040042343. The next prime is 24040042417. The reversal of 24040042400 is 424004042.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1357112 + ... + 1374711.

It is an arithmetic number, because the mean of its divisors is an integer number (889208712).

Almost surely, 2^24040042400 is an apocalyptic number.

24040042400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24040042400 is an abundant number, since it is smaller than the sum of its proper divisors (39982984864).

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

24040042400 is a wasteful number, since it uses less digits than its factorization.

24040042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731854 (or 2731841 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 24040042400 its reverse (424004042), we get a palindrome (24464046442).

The spelling of 24040042400 in words is "twenty-four billion, forty million, forty-two thousand, four hundred".