40007414561220 has 48 divisors (see below), whose sum is σ = 124467511969920. Its totient is φ = 10668643882848.

The previous prime is 40007414561167. The next prime is 40007414561239. The reversal of 40007414561220 is 2216541470004.

40007414561220 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 7 + 4 + 14 + 5 + 612 + 20 = 666.

It is a super-6 number, since 6×40007414561220⁶ (a number of 83 digits) contains 666666 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37043901832 + ... + 37043902911.

It is an arithmetic number, because the mean of its divisors is an integer number (2593073166040).

Almost surely, 2^{40007414561220} is an apocalyptic number.

It is an amenable number.

40007414561220 is an abundant number, since it is smaller than the sum of its proper divisors (84460097408700).

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

40007414561220 is a wasteful number, since it uses less digits than its factorization.

40007414561220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74087804761 (or 74087804753 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 40007414561220 in words is "forty trillion, seven billion, four hundred fourteen million, five hundred sixty-one thousand, two hundred twenty".