42580456754472 has 1152 divisors, whose sum is σ = 157562420520960. Its totient is φ = 10100583567360.

The previous prime is 42580456754449. The next prime is 42580456754509. The reversal of 42580456754472 is 27445765408524.

42580456754472 is a `hidden beast` number, since 4 + 2 + 5 + 8 + 0 + 456 + 75 + 44 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3886136418 + ... + 3886147374.

It is an arithmetic number, because the mean of its divisors is an integer number (136772934480).

Almost surely, 2^{42580456754472} is an apocalyptic number.

42580456754472 is a gapful number since it is divisible by the number (42) 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 42580456754472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78781210260480).

42580456754472 is an abundant number, since it is smaller than the sum of its proper divisors (114981963766488).

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

42580456754472 is a wasteful number, since it uses less digits than its factorization.

42580456754472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11111 (or 11085 counting only the distinct ones).

The product of its (nonzero) digits is 301056000, while the sum is 63.

The spelling of 42580456754472 in words is "forty-two trillion, five hundred eighty billion, four hundred fifty-six million, seven hundred fifty-four thousand, four hundred seventy-two".