442404244040 has 256 divisors, whose sum is σ = 1139415724800. Its totient is φ = 153119232000.

The previous prime is 442404244031. The next prime is 442404244111. The reversal of 442404244040 is 40442404244.

It is a junction number, because it is equal to n+sod(n) for n = 442404243988 and 442404244006.

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, 364718474 + ... + 364719686.

It is an arithmetic number, because the mean of its divisors is an integer number (4450842675).

Almost surely, 2^442404244040 is an apocalyptic number.

442404244040 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 442404244040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569707862400).

442404244040 is an abundant number, since it is smaller than the sum of its proper divisors (697011480760).

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

442404244040 is a wasteful number, since it uses less digits than its factorization.

442404244040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 442404244040 its reverse (40442404244), we get a palindrome (482846648284).

The spelling of 442404244040 in words is "four hundred forty-two billion, four hundred four million, two hundred forty-four thousand, forty".