442201574079 has 32 divisors (see below), whose sum is σ = 656436634560. Its totient is φ = 294206166144.

The previous prime is 442201574069. The next prime is 442201574081. The reversal of 442201574079 is 970475102244.

442201574079 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 0 + 1 + 574 + 0 + 79 = 666.

It is not a de Polignac number, because 442201574079 - 2¹³ = 442201565887 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442201574029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34291357 + ... + 34304249.

It is an arithmetic number, because the mean of its divisors is an integer number (20513644830).

Almost surely, 2^442201574079 is an apocalyptic number.

442201574079 is a deficient number, since it is larger than the sum of its proper divisors (214235060481).

442201574079 is a wasteful number, since it uses less digits than its factorization.

442201574079 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15368 (or 15362 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 442201574079 in words is "four hundred forty-two billion, two hundred one million, five hundred seventy-four thousand, seventy-nine".