4099859585721 has 63 divisors (see below), whose sum is σ = 6489174245781. Its totient is φ = 2588728962744.

The previous prime is 4099859585677. The next prime is 4099859585737. The reversal of 4099859585721 is 1275859589904.

The square root of 4099859585721 is 2024811.

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

4099859585721 is a `hidden beast` number, since 4 + 0 + 9 + 9 + 8 + 595 + 8 + 5 + 7 + 21 = 666.

It is not a de Polignac number, because 4099859585721 - 2³⁷ = 3962420632249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4099859585721.

It is not an unprimeable number, because it can be changed into a prime (4099859585221) by changing a digit.

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 62 ways as a sum of consecutive naturals, for example, 1038726070 + ... + 1038730016.

Almost surely, 2^{4099859585721} is an apocalyptic number.

4099859585721 is the 2024811-st square number.

4099859585721 is the 1012406-th centered octagonal number.

It is an amenable number.

4099859585721 is a deficient number, since it is larger than the sum of its proper divisors (2389314660060).

4099859585721 is an frugal number, since it uses more digits than its factorization.

4099859585721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7950 (or 3969 counting only the distinct ones).

The product of its (nonzero) digits is 326592000, while the sum is 72.

The spelling of 4099859585721 in words is "four trillion, ninety-nine billion, eight hundred fifty-nine million, five hundred eighty-five thousand, seven hundred twenty-one".