20442514254400 has 168 divisors, whose sum is σ = 57499777157696. Its totient is φ = 7007337216000.

The previous prime is 20442514254391. The next prime is 20442514254419. The reversal of 20442514254400 is 445241524402.

It is a self number, because there is not a number n which added to its sum of digits gives 20442514254400.

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, 51894982 + ... + 52287418.

Almost surely, 2^{20442514254400} is an apocalyptic number.

20442514254400 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 20442514254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28749888578848).

20442514254400 is an abundant number, since it is smaller than the sum of its proper divisors (37057262903296).

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

20442514254400 is a wasteful number, since it uses less digits than its factorization.

20442514254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397117 (or 397102 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 37.

Adding to 20442514254400 its reverse (445241524402), we get a palindrome (20887755778802).

The spelling of 20442514254400 in words is "twenty trillion, four hundred forty-two billion, five hundred fourteen million, two hundred fifty-four thousand, four hundred".