442015205376 has 192 divisors, whose sum is σ = 1190883133440. Its totient is φ = 145786798080.

The previous prime is 442015205273. The next prime is 442015205393. The reversal of 442015205376 is 673502510244.

It is a tau number, because it is divible by the number of its divisors (192).

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, 515769940 + ... + 515770796.

It is an arithmetic number, because the mean of its divisors is an integer number (6202516320).

Almost surely, 2^442015205376 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 442015205376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595441566720).

442015205376 is an abundant number, since it is smaller than the sum of its proper divisors (748867928064).

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

442015205376 is a wasteful number, since it uses less digits than its factorization.

442015205376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 442015205376 in words is "four hundred forty-two billion, fifteen million, two hundred five thousand, three hundred seventy-six".