442237965792 has 288 divisors, whose sum is σ = 1397660866560. Its totient is φ = 121953807360.

The previous prime is 442237965791. The next prime is 442237965803. The reversal of 442237965792 is 297569732244.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442237965791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57888309 + ... + 57895947.

It is an arithmetic number, because the mean of its divisors is an integer number (4852989120).

Almost surely, 2^442237965792 is an apocalyptic number.

442237965792 is a gapful number since it is divisible by the number (42) 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 442237965792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698830433280).

442237965792 is an abundant number, since it is smaller than the sum of its proper divisors (955422900768).

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

442237965792 is a wasteful number, since it uses less digits than its factorization.

442237965792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8094 (or 8079 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 60.

The spelling of 442237965792 in words is "four hundred forty-two billion, two hundred thirty-seven million, nine hundred sixty-five thousand, seven hundred ninety-two".