442696515840 has 216 divisors, whose sum is σ = 1621783596888. Its totient is φ = 111108096000.

The previous prime is 442696515817. The next prime is 442696515893. The reversal of 442696515840 is 48515696244.

It is a happy number.

442696515840 is a `hidden beast` number, since 4 + 4 + 2 + 6 + 9 + 6 + 51 + 584 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 196029333504 + 246667182336 = 442752^2 + 496656^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 934411 + ... + 1326090.

It is an arithmetic number, because the mean of its divisors is an integer number (7508257393).

Almost surely, 2^442696515840 is an apocalyptic number.

442696515840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442696515840 is an abundant number, since it is smaller than the sum of its proper divisors (1179087081048).

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

442696515840 is a wasteful number, since it uses less digits than its factorization.

442696515840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260545 (or 2260528 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 442696515840 in words is "four hundred forty-two billion, six hundred ninety-six million, five hundred fifteen thousand, eight hundred forty".