42022022202400 has 36 divisors (see below), whose sum is σ = 102586261703562. Its totient is φ = 16808808880640.

The previous prime is 42022022202389. The next prime is 42022022202437. The reversal of 42022022202400 is 420222022024.

It can be written as a sum of positive squares in 3 ways, for example, as 40234207185936 + 1787815016464 = 6343044^2 + 1337092^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26263763077 + ... + 26263764676.

Almost surely, 2^{42022022202400} is an apocalyptic number.

42022022202400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42022022202400 is an abundant number, since it is smaller than the sum of its proper divisors (60564239501162).

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

42022022202400 is a wasteful number, since it uses less digits than its factorization.

42022022202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52527527773 (or 52527527760 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 42022022202400 its reverse (420222022024), we get a palindrome (42442244224424).

The spelling of 42022022202400 in words is "forty-two trillion, twenty-two billion, twenty-two million, two hundred two thousand, four hundred".