4084811600961 has 64 divisors (see below), whose sum is σ = 6881091295232. Its totient is φ = 2097792732672.

The previous prime is 4084811600953. The next prime is 4084811600971. The reversal of 4084811600961 is 1690061184804.

4084811600961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4084811600961 - 2³ = 4084811600953 is a prime.

It is a super-2 number, since 2×4084811600961² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4084811600961.

It is not an unprimeable number, because it can be changed into a prime (4084811600911) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3118446 + ... + 4230168.

It is an arithmetic number, because the mean of its divisors is an integer number (107517051488).

Almost surely, 2^{4084811600961} is an apocalyptic number.

It is an amenable number.

4084811600961 is a deficient number, since it is larger than the sum of its proper divisors (2796279694271).

4084811600961 is a wasteful number, since it uses less digits than its factorization.

4084811600961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112102.

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 4084811600961 in words is "four trillion, eighty-four billion, eight hundred eleven million, six hundred thousand, nine hundred sixty-one".