442615004160 has 1056 divisors, whose sum is σ = 1734160232448. Its totient is φ = 94277468160.

The previous prime is 442615004159. The next prime is 442615004171. The reversal of 442615004160 is 61400516244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4563041232 + ... + 4563041328.

Almost surely, 2^442615004160 is an apocalyptic number.

442615004160 is a gapful number since it is divisible by the number (40) 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 442615004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867080116224).

442615004160 is an abundant number, since it is smaller than the sum of its proper divisors (1291545228288).

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

442615004160 is a wasteful number, since it uses less digits than its factorization.

442615004160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 442615004160 in words is "four hundred forty-two billion, six hundred fifteen million, four thousand, one hundred sixty".