442709076096 has 384 divisors, whose sum is σ = 1521849384000. Its totient is φ = 126328688640.

The previous prime is 442709076067. The next prime is 442709076101. The reversal of 442709076096 is 690670907244.

It is a happy number.

442709076096 is a `hidden beast` number, since 4 + 4 + 27 + 0 + 9 + 0 + 7 + 609 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223702435 + ... + 223704413.

Almost surely, 2^442709076096 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 442709076096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760924692000).

442709076096 is an abundant number, since it is smaller than the sum of its proper divisors (1079140307904).

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

442709076096 is a wasteful number, since it uses less digits than its factorization.

442709076096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3337 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 442709076096 in words is "four hundred forty-two billion, seven hundred nine million, seventy-six thousand, ninety-six".