442908109360 has 80 divisors (see below), whose sum is σ = 1075325746176. Its totient is φ = 169335567104.

The previous prime is 442908109339. The next prime is 442908109373. The reversal of 442908109360 is 63901809244.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 442908109360.

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 15 ways as a sum of consecutive naturals, for example, 2427237 + ... + 2603323.

Almost surely, 2^442908109360 is an apocalyptic number.

442908109360 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 442908109360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537662873088).

442908109360 is an abundant number, since it is smaller than the sum of its proper divisors (632417636816).

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

442908109360 is a wasteful number, since it uses less digits than its factorization.

442908109360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177490 (or 177484 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The spelling of 442908109360 in words is "four hundred forty-two billion, nine hundred eight million, one hundred nine thousand, three hundred sixty".