442995213024 has 576 divisors, whose sum is σ = 1611979439616. Its totient is φ = 116538476544.

The previous prime is 442995212999. The next prime is 442995213049. The reversal of 442995213024 is 420312599244.

442995213024 is a `hidden beast` number, since 4 + 4 + 2 + 99 + 521 + 30 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (442995212999) and next prime (442995213049).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 535664899 + ... + 535665725.

It is an arithmetic number, because the mean of its divisors is an integer number (2798575416).

Almost surely, 2^442995213024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442995213024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805989719808).

442995213024 is an abundant number, since it is smaller than the sum of its proper divisors (1168984226592).

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

442995213024 is a wasteful number, since it uses less digits than its factorization.

442995213024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 442995213024 in words is "four hundred forty-two billion, nine hundred ninety-five million, two hundred thirteen thousand, twenty-four".