442504087312 has 80 divisors (see below), whose sum is σ = 1023145085952. Its totient is φ = 181272643200.

The previous prime is 442504087253. The next prime is 442504087327. The reversal of 442504087312 is 213780405244.

It is a super-2 number, since 2×442504087312² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3678583 + ... + 3796969.

Almost surely, 2^442504087312 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 442504087312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511572542976).

442504087312 is an abundant number, since it is smaller than the sum of its proper divisors (580640998640).

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

442504087312 is a wasteful number, since it uses less digits than its factorization.

442504087312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119876 (or 119870 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The spelling of 442504087312 in words is "four hundred forty-two billion, five hundred four million, eighty-seven thousand, three hundred twelve".