442925690880 has 416 divisors, whose sum is σ = 1444434752448. Its totient is φ = 115867648000.

The previous prime is 442925690833. The next prime is 442925690887. The reversal of 442925690880 is 88096529244.

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 442925690880.

It is not an unprimeable number, because it can be changed into a prime (442925690887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 850145020 + ... + 850145540.

Almost surely, 2^442925690880 is an apocalyptic number.

442925690880 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 442925690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722217376224).

442925690880 is an abundant number, since it is smaller than the sum of its proper divisors (1001509061568).

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

442925690880 is a wasteful number, since it uses less digits than its factorization.

442925690880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 442925690880 in words is "four hundred forty-two billion, nine hundred twenty-five million, six hundred ninety thousand, eight hundred eighty".