442320031404320 has 96 divisors (see below), whose sum is σ = 1098182499720768. Its totient is φ = 168142774883328.

The previous prime is 442320031404289. The next prime is 442320031404337. The reversal of 442320031404320 is 23404130023244.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 868538714 + ... + 869047833.

It is an arithmetic number, because the mean of its divisors is an integer number (11439401038758).

Almost surely, 2^{442320031404320} is an apocalyptic number.

442320031404320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442320031404320 is an abundant number, since it is smaller than the sum of its proper divisors (655862468316448).

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

442320031404320 is a wasteful number, since it uses less digits than its factorization.

442320031404320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737586642 (or 1737586634 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 442320031404320 its reverse (23404130023244), we get a palindrome (465724161427564).

The spelling of 442320031404320 in words is "four hundred forty-two trillion, three hundred twenty billion, thirty-one million, four hundred four thousand, three hundred twenty".