4002765320322 has 24 divisors (see below), whose sum is σ = 8672725421100. Its totient is φ = 1334244764160.

The previous prime is 4002765320303. The next prime is 4002765320329. The reversal of 4002765320322 is 2230235672004.

4002765320322 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 7 + 6 + 5 + 320 + 322 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3865199252121 + 137566068201 = 1966011^2 + 370899^2 .

It is not an unprimeable number, because it can be changed into a prime (4002765320329) 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 11 ways as a sum of consecutive naturals, for example, 1736422 + ... + 3319742.

Almost surely, 2^{4002765320322} is an apocalyptic number.

4002765320322 is an abundant number, since it is smaller than the sum of its proper divisors (4669960100778).

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

4002765320322 is a wasteful number, since it uses less digits than its factorization.

4002765320322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723778 (or 1723775 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 4002765320322 in words is "four trillion, two billion, seven hundred sixty-five million, three hundred twenty thousand, three hundred twenty-two".