20132422400 has 108 divisors (see below), whose sum is σ = 49890785952. Its totient is φ = 8043294720.

The previous prime is 20132422391. The next prime is 20132422447. The reversal of 20132422400 is 422423102.

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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7915529 + ... + 7918071.

Almost surely, 2^20132422400 is an apocalyptic number.

20132422400 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 20132422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24945392976).

20132422400 is an abundant number, since it is smaller than the sum of its proper divisors (29758363552).

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

20132422400 is a wasteful number, since it uses less digits than its factorization.

20132422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806 (or 3787 counting only the distinct ones).

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

Adding to 20132422400 its reverse (422423102), we get a palindrome (20554845502).

The spelling of 20132422400 in words is "twenty billion, one hundred thirty-two million, four hundred twenty-two thousand, four hundred".