442099740764224 has 63 divisors (see below), whose sum is σ = 878403600818317. Its totient is φ = 220770054138368.

The previous prime is 442099740764167. The next prime is 442099740764233. The reversal of 442099740764224 is 422467047990244.

The square root of 442099740764224 is 21026168.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 358656631285824 + 83443109478400 = 18938232^2 + 9134720^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 216821843397 + ... + 216821845435.

Almost surely, 2^{442099740764224} is an apocalyptic number.

442099740764224 is the 21026168-th square number.

It is an amenable number.

442099740764224 is a deficient number, since it is larger than the sum of its proper divisors (436303860054093).

442099740764224 is an frugal number, since it uses more digits than its factorization.

442099740764224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6668 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 64.

442099740764224 divided by its sum of digits (64) gives a square (6907808449441 = 2628271²).

The spelling of 442099740764224 in words is "four hundred forty-two trillion, ninety-nine billion, seven hundred forty million, seven hundred sixty-four thousand, two hundred twenty-four".