42094190160 has 480 divisors, whose sum is σ = 161595907200. Its totient is φ = 10098432000.

The previous prime is 42094190153. The next prime is 42094190183. The reversal of 42094190160 is 6109149024.

It is a happy number.

42094190160 is a `hidden beast` number, since 420 + 94 + 1 + 90 + 1 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21596866 + ... + 21598814.

It is an arithmetic number, because the mean of its divisors is an integer number (336658140).

Almost surely, 2^42094190160 is an apocalyptic number.

42094190160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42094190160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80797953600).

42094190160 is an abundant number, since it is smaller than the sum of its proper divisors (119501717040).

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

42094190160 is a wasteful number, since it uses less digits than its factorization.

42094190160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 42094190160 in words is "forty-two billion, ninety-four million, one hundred ninety thousand, one hundred sixty".