20242142214400 has 108 divisors (see below), whose sum is σ = 50570713860912. Its totient is φ = 8021185054720.

The previous prime is 20242142214383. The next prime is 20242142214431. The reversal of 20242142214400 is 441224124202.

It is a happy number.

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, 14094802 + ... + 15464401.

It is an arithmetic number, because the mean of its divisors is an integer number (468247350564).

Almost surely, 2^{20242142214400} is an apocalyptic number.

20242142214400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20242142214400 is an abundant number, since it is smaller than the sum of its proper divisors (30328571646512).

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

20242142214400 is a wasteful number, since it uses less digits than its factorization.

20242142214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29559336 (or 29559317 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 20242142214400 its reverse (441224124202), we get a palindrome (20683366338602).

The spelling of 20242142214400 in words is "twenty trillion, two hundred forty-two billion, one hundred forty-two million, two hundred fourteen thousand, four hundred".