442915004016 has 80 divisors (see below), whose sum is σ = 1302338207520. Its totient is φ = 144037393920.

The previous prime is 442915004009. The next prime is 442915004029. The reversal of 442915004016 is 610400519244.

It is a super-2 number, since 2×442915004016² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 12485535 + ... + 12520958.

It is an arithmetic number, because the mean of its divisors is an integer number (16279227594).

Almost surely, 2^442915004016 is an apocalyptic number.

It is an amenable number.

442915004016 is an abundant number, since it is smaller than the sum of its proper divisors (859423203504).

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

442915004016 is a wasteful number, since it uses less digits than its factorization.

442915004016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25006551 (or 25006539 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 442915004016 in words is "four hundred forty-two billion, nine hundred fifteen million, four thousand, sixteen".