20021200414400 has 84 divisors (see below), whose sum is σ = 49266054538560. Its totient is φ = 8008254489600.

The previous prime is 20021200414399. The next prime is 20021200414433. The reversal of 20021200414400 is 441400212002.

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 (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63893306 + ... + 64205894.

Almost surely, 2^{20021200414400} is an apocalyptic number.

20021200414400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20021200414400 is an abundant number, since it is smaller than the sum of its proper divisors (29244854124160).

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

20021200414400 is a wasteful number, since it uses less digits than its factorization.

20021200414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352642 (or 352627 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 20021200414400 its reverse (441400212002), we get a palindrome (20462600626402).

The spelling of 20021200414400 in words is "twenty trillion, twenty-one billion, two hundred million, four hundred fourteen thousand, four hundred".