442995920640 has 2304 divisors, whose sum is σ = 2054418186240. Its totient is φ = 89006211072.

The previous prime is 442995920581. The next prime is 442995920651. The reversal of 442995920640 is 46029599244.

442995920640 is a `hidden beast` number, since 4 + 4 + 2 + 9 + 9 + 592 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9425445097 + ... + 9425445143.

It is an arithmetic number, because the mean of its divisors is an integer number (891674560).

Almost surely, 2^442995920640 is an apocalyptic number.

442995920640 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 442995920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027209093120).

442995920640 is an abundant number, since it is smaller than the sum of its proper divisors (1611422265600).

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

442995920640 is an equidigital number, since it uses as much as digits as its factorization.

442995920640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 442995920640 in words is "four hundred forty-two billion, nine hundred ninety-five million, nine hundred twenty thousand, six hundred forty".