20213142342400 has 108 divisors (see below), whose sum is σ = 57177926527792. Its totient is φ = 6930220216320.

The previous prime is 20213142342391. The next prime is 20213142342443. The reversal of 20213142342400 is 424324131202.

It is a super-2 number, since 2×20213142342400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 225548307 + ... + 225637906.

Almost surely, 2^{20213142342400} is an apocalyptic number.

20213142342400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20213142342400 is an abundant number, since it is smaller than the sum of its proper divisors (36964784185392).

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

20213142342400 is an equidigital number, since it uses as much as digits as its factorization.

20213142342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451186246 (or 451186227 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 20213142342400 its reverse (424324131202), we get a palindrome (20637466473602).

The spelling of 20213142342400 in words is "twenty trillion, two hundred thirteen billion, one hundred forty-two million, three hundred forty-two thousand, four hundred".