42167407104 has 480 divisors, whose sum is σ = 139147968960. Its totient is φ = 12209356800.

The previous prime is 42167407097. The next prime is 42167407157. The reversal of 42167407104 is 40170476124.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 61023399 + ... + 61024089.

It is an arithmetic number, because the mean of its divisors is an integer number (289891602).

Almost surely, 2^42167407104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42167407104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69573984480).

42167407104 is an abundant number, since it is smaller than the sum of its proper divisors (96980561856).

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

42167407104 is a wasteful number, since it uses less digits than its factorization.

42167407104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 42167407104 in words is "forty-two billion, one hundred sixty-seven million, four hundred seven thousand, one hundred four".