42204040416 has 120 divisors (see below), whose sum is σ = 127007778744. Its totient is φ = 13740814080.

The previous prime is 42204040391. The next prime is 42204040423. The reversal of 42204040416 is 61404040224.

It is a happy number.

42204040416 is a `hidden beast` number, since 4 + 2 + 204 + 0 + 40 + 416 = 666.

It is a super-2 number, since 2×42204040416² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 42204040416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 77875 + ... + 300786.

Almost surely, 2^42204040416 is an apocalyptic number.

It is an amenable number.

42204040416 is an abundant number, since it is smaller than the sum of its proper divisors (84803738328).

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

42204040416 is a wasteful number, since it uses less digits than its factorization.

42204040416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378726 (or 378709 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 42204040416 in words is "forty-two billion, two hundred four million, forty thousand, four hundred sixteen".