42890674176 has 600 divisors, whose sum is σ = 154786065280. Its totient is φ = 11609505792.

The previous prime is 42890674163. The next prime is 42890674181. The reversal of 42890674176 is 67147609824.

42890674176 is a `hidden beast` number, since 428 + 90 + 67 + 4 + 1 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2257403895 + ... + 2257403913.

Almost surely, 2^42890674176 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 42890674176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77393032640).

42890674176 is an abundant number, since it is smaller than the sum of its proper divisors (111895391104).

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

42890674176 is an frugal number, since it uses more digits than its factorization.

42890674176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 42890674176 in words is "forty-two billion, eight hundred ninety million, six hundred seventy-four thousand, one hundred seventy-six".