442818044640 has 168 divisors, whose sum is σ = 1568519329608. Its totient is φ = 118084780800.

The previous prime is 442818044611. The next prime is 442818044653. The reversal of 442818044640 is 46440818244.

442818044640 is a `hidden beast` number, since 4 + 4 + 2 + 8 + 180 + 4 + 464 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1781586 + ... + 2014865.

It is an arithmetic number, because the mean of its divisors is an integer number (9336424581).

Almost surely, 2^442818044640 is an apocalyptic number.

442818044640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442818044640 is an abundant number, since it is smaller than the sum of its proper divisors (1125701284968).

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

442818044640 is an equidigital number, since it uses as much as digits as its factorization.

442818044640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3796484 (or 3796461 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 442818044640 in words is "four hundred forty-two billion, eight hundred eighteen million, forty-four thousand, six hundred forty".