40442442022400 has 120 divisors (see below), whose sum is σ = 109308338209224. Its totient is φ = 14706342502400.

The previous prime is 40442442022331. The next prime is 40442442022453. The reversal of 40442442022400 is 422024424404.

It is a super-2 number, since 2×40442442022400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent 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, 143475827 + ... + 143757426.

Almost surely, 2^{40442442022400} is an apocalyptic number.

40442442022400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40442442022400 is an abundant number, since it is smaller than the sum of its proper divisors (68865896186824).

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

40442442022400 is a wasteful number, since it uses less digits than its factorization.

40442442022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287233292 (or 287233271 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 40442442022400 its reverse (422024424404), we get a palindrome (40864466446804).

The spelling of 40442442022400 in words is "forty trillion, four hundred forty-two billion, four hundred forty-two million, twenty-two thousand, four hundred".