42974175456 has 240 divisors, whose sum is σ = 129074465520. Its totient is φ = 14023342080.

The previous prime is 42974175449. The next prime is 42974175457. The reversal of 42974175456 is 65457147924.

42974175456 is a `hidden beast` number, since 4 + 2 + 97 + 4 + 1 + 7 + 545 + 6 = 666.

It is a super-2 number, since 2×42974175456² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42974175457) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24682746 + ... + 24684486.

It is an arithmetic number, because the mean of its divisors is an integer number (537810273).

Almost surely, 2^42974175456 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 42974175456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64537232760).

42974175456 is an abundant number, since it is smaller than the sum of its proper divisors (86100290064).

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

42974175456 is a wasteful number, since it uses less digits than its factorization.

42974175456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1942 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 42974175456 in words is "forty-two billion, nine hundred seventy-four million, one hundred seventy-five thousand, four hundred fifty-six".