442566256440 has 256 divisors, whose sum is σ = 1655817707520. Its totient is φ = 91933770240.

The previous prime is 442566256439. The next prime is 442566256453. The reversal of 442566256440 is 44652665244.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 442566256440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45890259 + ... + 45899901.

It is an arithmetic number, because the mean of its divisors is an integer number (6468037920).

Almost surely, 2^442566256440 is an apocalyptic number.

442566256440 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 442566256440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827908853760).

442566256440 is an abundant number, since it is smaller than the sum of its proper divisors (1213251451080).

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

442566256440 is a wasteful number, since it uses less digits than its factorization.

442566256440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14642 (or 14638 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 48.

The spelling of 442566256440 in words is "four hundred forty-two billion, five hundred sixty-six million, two hundred fifty-six thousand, four hundred forty".