442268327130 has 256 divisors, whose sum is σ = 1308798812160. Its totient is φ = 93477888000.

The previous prime is 442268327107. The next prime is 442268327233. The reversal of 442268327130 is 31723862244.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18300555 + ... + 18324705.

It is an arithmetic number, because the mean of its divisors is an integer number (5112495360).

Almost surely, 2^442268327130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442268327130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654399406080).

442268327130 is an abundant number, since it is smaller than the sum of its proper divisors (866530485030).

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

442268327130 is a wasteful number, since it uses less digits than its factorization.

442268327130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24325.

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 442268327130 in words is "four hundred forty-two billion, two hundred sixty-eight million, three hundred twenty-seven thousand, one hundred thirty".