442400222256 has 160 divisors (see below), whose sum is σ = 1255872000000. Its totient is φ = 133572789504.

The previous prime is 442400222249. The next prime is 442400222261. The reversal of 442400222256 is 652222004244.

It is a happy 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, 88495245 + ... + 88500243.

It is an arithmetic number, because the mean of its divisors is an integer number (7849200000).

Almost surely, 2^442400222256 is an apocalyptic number.

442400222256 is a gapful number since it is divisible by the number (46) 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 442400222256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627936000000).

442400222256 is an abundant number, since it is smaller than the sum of its proper divisors (813471777744).

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

442400222256 is a wasteful number, since it uses less digits than its factorization.

442400222256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9271 (or 9265 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

The spelling of 442400222256 in words is "four hundred forty-two billion, four hundred million, two hundred twenty-two thousand, two hundred fifty-six".