40221304400100 has 72 divisors (see below), whose sum is σ = 122498569207840. Its totient is φ = 10161171636480.

The previous prime is 40221304400009. The next prime is 40221304400117. The reversal of 40221304400100 is 100440312204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3528178897 + ... + 3528190296.

Almost surely, 2^{40221304400100} is an apocalyptic number.

It is an amenable number.

40221304400100 is an abundant number, since it is smaller than the sum of its proper divisors (82277264807740).

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

40221304400100 is a wasteful number, since it uses less digits than its factorization.

40221304400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7056369229 (or 7056369222 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 40221304400100 its reverse (100440312204), we get a palindrome (40321744712304).

The spelling of 40221304400100 in words is "forty trillion, two hundred twenty-one billion, three hundred four million, four hundred thousand, one hundred".