442713794320 has 240 divisors, whose sum is σ = 1245355292160. Its totient is φ = 143342724096.

The previous prime is 442713794311. The next prime is 442713794387. The reversal of 442713794320 is 23497317244.

It is a super-2 number, since 2×442713794320² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23393502 + ... + 23412418.

It is an arithmetic number, because the mean of its divisors is an integer number (5188980384).

Almost surely, 2^442713794320 is an apocalyptic number.

442713794320 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 442713794320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622677646080).

442713794320 is an abundant number, since it is smaller than the sum of its proper divisors (802641497840).

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

442713794320 is a wasteful number, since it uses less digits than its factorization.

442713794320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19062 (or 19033 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 46.

The spelling of 442713794320 in words is "four hundred forty-two billion, seven hundred thirteen million, seven hundred ninety-four thousand, three hundred twenty".