20442244400 has 120 divisors (see below), whose sum is σ = 51828267600. Its totient is φ = 7726924800.

The previous prime is 20442244397. The next prime is 20442244411. The reversal of 20442244400 is 444224402.

It is a super-2 number, since 2×20442244400² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20442244400.

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, 3196406 + ... + 3202794.

It is an arithmetic number, because the mean of its divisors is an integer number (431902230).

Almost surely, 2^20442244400 is an apocalyptic number.

20442244400 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 20442244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25914133800).

20442244400 is an abundant number, since it is smaller than the sum of its proper divisors (31386023200).

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

20442244400 is a wasteful number, since it uses less digits than its factorization.

20442244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6847 (or 6836 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 20442244400 its reverse (444224402), we get a palindrome (20886468802).

The spelling of 20442244400 in words is "twenty billion, four hundred forty-two million, two hundred forty-four thousand, four hundred".