10442091480624 has 80 divisors (see below), whose sum is σ = 30703710774240. Its totient is φ = 3395802101760.

The previous prime is 10442091480607. The next prime is 10442091480631. The reversal of 10442091480624 is 42608419024401.

10442091480624 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 2 + 0 + 9 + 14 + 8 + 0 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10442091480624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294756777 + ... + 294792200.

It is an arithmetic number, because the mean of its divisors is an integer number (383796384678).

Almost surely, 2^{10442091480624} is an apocalyptic number.

It is an amenable number.

10442091480624 is an abundant number, since it is smaller than the sum of its proper divisors (20261619293616).

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

10442091480624 is a wasteful number, since it uses less digits than its factorization.

10442091480624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589549035 (or 589549023 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 10442091480624 in words is "ten trillion, four hundred forty-two billion, ninety-one million, four hundred eighty thousand, six hundred twenty-four".