20404251232400 has 240 divisors, whose sum is σ = 58979556019200. Its totient is φ = 6626796986880.

The previous prime is 20404251232397. The next prime is 20404251232439. The reversal of 20404251232400 is 423215240402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 658547309 + ... + 658578291.

It is an arithmetic number, because the mean of its divisors is an integer number (245748150080).

Almost surely, 2^{20404251232400} is an apocalyptic number.

20404251232400 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 20404251232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29489778009600).

20404251232400 is an abundant number, since it is smaller than the sum of its proper divisors (38575304786800).

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

20404251232400 is a wasteful number, since it uses less digits than its factorization.

20404251232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43406 (or 43395 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 20404251232400 its reverse (423215240402), we get a palindrome (20827466472802).

The spelling of 20404251232400 in words is "twenty trillion, four hundred four billion, two hundred fifty-one million, two hundred thirty-two thousand, four hundred".