442890361255120 has 40 divisors (see below), whose sum is σ = 1029720976592616. Its totient is φ = 177155991955968.

The previous prime is 442890361255061. The next prime is 442890361255129. The reversal of 442890361255120 is 21552163098244.

It can be written as a sum of positive squares in 4 ways, for example, as 41465254179904 + 401425107075216 = 6439352^2 + 20035596^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442890361255129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158826814 + ... + 161591266.

Almost surely, 2^{442890361255120} is an apocalyptic number.

442890361255120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442890361255120 is an abundant number, since it is smaller than the sum of its proper divisors (586830615337496).

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

442890361255120 is a wasteful number, since it uses less digits than its factorization.

442890361255120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4767079 (or 4767073 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 52.

The spelling of 442890361255120 in words is "four hundred forty-two trillion, eight hundred ninety billion, three hundred sixty-one million, two hundred fifty-five thousand, one hundred twenty".