442123319232 has 336 divisors, whose sum is σ = 1460082903552. Its totient is φ = 125297694720.

The previous prime is 442123319219. The next prime is 442123319273. The reversal of 442123319232 is 232913321244.

442123319232 is a `hidden beast` number, since 442 + 1 + 23 + 3 + 192 + 3 + 2 = 666.

442123319232 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 498447493 + ... + 498448379.

It is an arithmetic number, because the mean of its divisors is an integer number (4345484832).

Almost surely, 2^442123319232 is an apocalyptic number.

442123319232 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 442123319232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730041451776).

442123319232 is an abundant number, since it is smaller than the sum of its proper divisors (1017959584320).

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

442123319232 is a wasteful number, since it uses less digits than its factorization.

442123319232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1763 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The spelling of 442123319232 in words is "four hundred forty-two billion, one hundred twenty-three million, three hundred nineteen thousand, two hundred thirty-two".