442140534164 has 96 divisors (see below), whose sum is σ = 919320192000. Its totient is φ = 182047670784.

The previous prime is 442140534149. The next prime is 442140534191. The reversal of 442140534164 is 461435041244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185072282 + ... + 185074670.

It is an arithmetic number, because the mean of its divisors is an integer number (9576252000).

Almost surely, 2^442140534164 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 442140534164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459660096000).

442140534164 is an abundant number, since it is smaller than the sum of its proper divisors (477179657836).

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

442140534164 is a wasteful number, since it uses less digits than its factorization.

442140534164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3465 (or 3463 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

The spelling of 442140534164 in words is "four hundred forty-two billion, one hundred forty million, five hundred thirty-four thousand, one hundred sixty-four".