4404785142564 has 27 divisors (see below), whose sum is σ = 11134349830513. Its totient is φ = 1468257516672.

The previous prime is 4404785142559. The next prime is 4404785142581. The reversal of 4404785142564 is 4652415874044.

The square root of 4404785142564 is 2098758.

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

4404785142564 is a `hidden beast` number, since 4 + 4 + 0 + 4 + 78 + 5 + 1 + 4 + 2 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 224363268900 + 4180421873664 = 473670^2 + 2044608^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4404785142564.

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, 12417652 + ... + 12767444.

Almost surely, 2^{4404785142564} is an apocalyptic number.

4404785142564 is the 2098758-th square number.

It is an amenable number.

4404785142564 is an abundant number, since it is smaller than the sum of its proper divisors (6729564687949).

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

4404785142564 is an frugal number, since it uses more digits than its factorization.

4404785142564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699596 (or 349798 counting only the distinct ones).

The product of its (nonzero) digits is 17203200, while the sum is 54.

The spelling of 4404785142564 in words is "four trillion, four hundred four billion, seven hundred eighty-five million, one hundred forty-two thousand, five hundred sixty-four".