42582418944 has 240 divisors, whose sum is σ = 125867350224. Its totient is φ = 12779520000.

The previous prime is 42582418943. The next prime is 42582418961. The reversal of 42582418944 is 44981428524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42582418943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10640944 + ... + 10644944.

Almost surely, 2^42582418944 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 42582418944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62933675112).

42582418944 is an abundant number, since it is smaller than the sum of its proper divisors (83284931280).

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

42582418944 is a wasteful number, since it uses less digits than its factorization.

42582418944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089 (or 4060 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 51.

The spelling of 42582418944 in words is "forty-two billion, five hundred eighty-two million, four hundred eighteen thousand, nine hundred forty-four".