442127291592 has 256 divisors, whose sum is σ = 1293602918400. Its totient is φ = 123326300160.

The previous prime is 442127291581. The next prime is 442127291603. The reversal of 442127291592 is 295192721244.

It is an interprime number because it is at equal distance from previous prime (442127291581) and next prime (442127291603).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 714260259 + ... + 714260877.

It is an arithmetic number, because the mean of its divisors is an integer number (5053136400).

Almost surely, 2^442127291592 is an apocalyptic number.

442127291592 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442127291592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646801459200).

442127291592 is an abundant number, since it is smaller than the sum of its proper divisors (851475626808).

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

442127291592 is a wasteful number, since it uses less digits than its factorization.

442127291592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1192 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The spelling of 442127291592 in words is "four hundred forty-two billion, one hundred twenty-seven million, two hundred ninety-one thousand, five hundred ninety-two".