42480075456 has 560 divisors, whose sum is σ = 164131361856. Its totient is φ = 10542514176.

The previous prime is 42480075427. The next prime is 42480075529. The reversal of 42480075456 is 65457008424.

42480075456 is a `hidden beast` number, since 4 + 24 + 80 + 0 + 7 + 545 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8017000 + ... + 8022296.

Almost surely, 2^42480075456 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 42480075456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82065680928).

42480075456 is an abundant number, since it is smaller than the sum of its proper divisors (121651286400).

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

42480075456 is a wasteful number, since it uses less digits than its factorization.

42480075456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5358 (or 5339 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 42480075456 in words is "forty-two billion, four hundred eighty million, seventy-five thousand, four hundred fifty-six".