442001994000 has 320 divisors, whose sum is σ = 1699399802880. Its totient is φ = 96636249600.

The previous prime is 442001993989. The next prime is 442001994019. The reversal of 442001994000 is 499100244.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 737221 + ... + 1194779.

It is an arithmetic number, because the mean of its divisors is an integer number (5310624384).

Almost surely, 2^442001994000 is an apocalyptic number.

442001994000 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 442001994000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849699901440).

442001994000 is an abundant number, since it is smaller than the sum of its proper divisors (1257397808880).

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

442001994000 is a wasteful number, since it uses less digits than its factorization.

442001994000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457615 (or 457599 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 442001994000 in words is "four hundred forty-two billion, one million, nine hundred ninety-four thousand".