442034197956000 has 2304 divisors, whose sum is σ = 1823083838005248. Its totient is φ = 100537417728000.

The previous prime is 442034197955981. The next prime is 442034197956049. The reversal of 442034197956000 is 659791430244.

442034197956000 is a `hidden beast` number, since 4 + 4 + 2 + 0 + 3 + 4 + 1 + 9 + 79 + 560 + 0 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 284632451224 + ... + 284632452776.

It is an arithmetic number, because the mean of its divisors is an integer number (791269026912).

Almost surely, 2^{442034197956000} is an apocalyptic number.

442034197956000 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 442034197956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911541919002624).

442034197956000 is an abundant number, since it is smaller than the sum of its proper divisors (1381049640049248).

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

442034197956000 is a wasteful number, since it uses less digits than its factorization.

442034197956000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 442034197956000 in words is "four hundred forty-two trillion, thirty-four billion, one hundred ninety-seven million, nine hundred fifty-six thousand".