24140023400 has 96 divisors (see below), whose sum is σ = 58123791000. Its totient is φ = 9312952320.

The previous prime is 24140023381. The next prime is 24140023417. The reversal of 24140023400 is 432004142.

It can be written as a sum of positive squares in 12 ways, for example, as 9069514756 + 15070508644 = 95234^2 + 122762^2 .

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 23 ways as a sum of consecutive naturals, for example, 7520996 + ... + 7524204.

Almost surely, 2^24140023400 is an apocalyptic number.

24140023400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24140023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29061895500).

24140023400 is an abundant number, since it is smaller than the sum of its proper divisors (33983767600).

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

24140023400 is a wasteful number, since it uses less digits than its factorization.

24140023400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4551 (or 4542 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 24140023400 its reverse (432004142), we get a palindrome (24572027542).

The spelling of 24140023400 in words is "twenty-four billion, one hundred forty million, twenty-three thousand, four hundred".