442189913256000 has 6048 divisors, whose sum is σ = 2138504341008672. Its totient is φ = 86416765747200.

The previous prime is 442189913255947. The next prime is 442189913256001. The reversal of 442189913256000 is 652319981244.

It is a happy number.

442189913256000 is a `hidden beast` number, since 4 + 4 + 2 + 1 + 8 + 9 + 9 + 1 + 3 + 25 + 600 + 0 = 666.

It can be written as a sum of positive squares in 48 ways, for example, as 435240067558464 + 6949845697536 = 20862408^2 + 2636256^2 .

It is not an unprimeable number, because it can be changed into a prime (442189913256001) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 967592807772 + ... + 967592808228.

Almost surely, 2^{442189913256000} is an apocalyptic number.

442189913256000 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 442189913256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069252170504336).

442189913256000 is an abundant number, since it is smaller than the sum of its proper divisors (1696314427752672).

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

442189913256000 is a wasteful number, since it uses less digits than its factorization.

442189913256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 442189913256000 in words is "four hundred forty-two trillion, one hundred eighty-nine billion, nine hundred thirteen million, two hundred fifty-six thousand".