4022427660900 has 288 divisors, whose sum is σ = 13139882743680. Its totient is φ = 941090304000.

The previous prime is 4022427660899. The next prime is 4022427660919. The reversal of 4022427660900 is 90667242204.

4022427660900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 250438870 + ... + 250454930.

It is an arithmetic number, because the mean of its divisors is an integer number (45624592860).

Almost surely, 2^{4022427660900} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4022427660900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6569941371840).

4022427660900 is an abundant number, since it is smaller than the sum of its proper divisors (9117455082780).

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

4022427660900 is a wasteful number, since it uses less digits than its factorization.

4022427660900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18735 (or 18728 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 4022427660900 in words is "four trillion, twenty-two billion, four hundred twenty-seven million, six hundred sixty thousand, nine hundred".