24240400400 has 120 divisors (see below), whose sum is σ = 61396737024. Its totient is φ = 9183513600.

The previous prime is 24240400397. The next prime is 24240400427. The reversal of 24240400400 is 400404242.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 562004 + ... + 603596.

Almost surely, 2^24240400400 is an apocalyptic number.

24240400400 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 24240400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30698368512).

24240400400 is an abundant number, since it is smaller than the sum of its proper divisors (37156336624).

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

24240400400 is a wasteful number, since it uses less digits than its factorization.

24240400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41689 (or 41678 counting only the distinct ones).

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

Adding to 24240400400 its reverse (400404242), we get a palindrome (24640804642).

The spelling of 24240400400 in words is "twenty-four billion, two hundred forty million, four hundred thousand, four hundred".