4022013224400 has 120 divisors (see below), whose sum is σ = 13641722570304. Its totient is φ = 1009446451200.

The previous prime is 4022013224381. The next prime is 4022013224401. The reversal of 4022013224400 is 44223102204.

4022013224400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022013224401) 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, 98558356 + ... + 98599155.

Almost surely, 2^{4022013224400} is an apocalyptic number.

4022013224400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4022013224400 is an abundant number, since it is smaller than the sum of its proper divisors (9619709345904).

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

4022013224400 is a wasteful number, since it uses less digits than its factorization.

4022013224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197157549 (or 197157538 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4022013224400 its reverse (44223102204), we get a palindrome (4066236326604).

The spelling of 4022013224400 in words is "four trillion, twenty-two billion, thirteen million, two hundred twenty-four thousand, four hundred".