442422957630840 has 256 divisors, whose sum is σ = 1334570273625600. Its totient is φ = 117332528332800.

The previous prime is 442422957630839. The next prime is 442422957630869. The reversal of 442422957630840 is 48036759224244.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 33187522975 + ... + 33187536305.

It is an arithmetic number, because the mean of its divisors is an integer number (5213165131350).

Almost surely, 2^{442422957630840} is an apocalyptic number.

442422957630840 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 442422957630840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667285136812800).

442422957630840 is an abundant number, since it is smaller than the sum of its proper divisors (892147315994760).

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

442422957630840 is a wasteful number, since it uses less digits than its factorization.

442422957630840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15678 (or 15674 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 60.

The spelling of 442422957630840 in words is "four hundred forty-two trillion, four hundred twenty-two billion, nine hundred fifty-seven million, six hundred thirty thousand, eight hundred forty".