24242040400 has 90 divisors (see below), whose sum is σ = 58687895210. Its totient is φ = 9623055360.

The previous prime is 24242040391. The next prime is 24242040421. The reversal of 24242040400 is 404024242.

It can be written as a sum of positive squares in 9 ways, for example, as 6605137984 + 17636902416 = 81272^2 + 132804^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7505986 + ... + 7509214.

Almost surely, 2^24242040400 is an apocalyptic number.

24242040400 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 24242040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29343947605).

24242040400 is an abundant number, since it is smaller than the sum of its proper divisors (34445854810).

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

24242040400 is a wasteful number, since it uses less digits than its factorization.

24242040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521 (or 3373 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 24242040400 its reverse (404024242), we get a palindrome (24646064642).

The spelling of 24242040400 in words is "twenty-four billion, two hundred forty-two million, forty thousand, four hundred".