442814261880 has 128 divisors (see below), whose sum is σ = 1357662643200. Its totient is φ = 115490022912.

The previous prime is 442814261867. The next prime is 442814261893. The reversal of 442814261880 is 88162418244.

It is an interprime number because it is at equal distance from previous prime (442814261867) and next prime (442814261893).

It is a super-2 number, since 2×442814261880² (a number of 24 digits) contains 22 as substring.

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, 8201854 + ... + 8255666.

It is an arithmetic number, because the mean of its divisors is an integer number (10606739400).

Almost surely, 2^442814261880 is an apocalyptic number.

442814261880 is a gapful number since it is divisible by the number (40) 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 442814261880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678831321600).

442814261880 is an abundant number, since it is smaller than the sum of its proper divisors (914848381320).

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

442814261880 is a wasteful number, since it uses less digits than its factorization.

442814261880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55333 (or 55329 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 48.

The spelling of 442814261880 in words is "four hundred forty-two billion, eight hundred fourteen million, two hundred sixty-one thousand, eight hundred eighty".