20112442014400 has 168 divisors, whose sum is σ = 50353204490240. Its totient is φ = 7905485952000.

The previous prime is 20112442014383. The next prime is 20112442014407. The reversal of 20112442014400 is 441024421102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (20112442014407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26293345 + ... + 27047455.

Almost surely, 2^{20112442014400} is an apocalyptic number.

20112442014400 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 20112442014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25176602245120).

20112442014400 is an abundant number, since it is smaller than the sum of its proper divisors (30240762475840).

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

20112442014400 is a wasteful number, since it uses less digits than its factorization.

20112442014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754423 (or 754408 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 20112442014400 its reverse (441024421102), we get a palindrome (20553466435502).

The spelling of 20112442014400 in words is "twenty trillion, one hundred twelve billion, four hundred forty-two million, fourteen thousand, four hundred".