4161406412304 has 60 divisors (see below), whose sum is σ = 11724320419500. Its totient is φ = 1377825829632.

The previous prime is 4161406412239. The next prime is 4161406412341. The reversal of 4161406412304 is 4032146041614.

4161406412304 is a `hidden beast` number, since 4 + 1 + 6 + 1 + 4 + 0 + 641 + 2 + 3 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 489507323904 + 3671899088400 = 699648^2 + 1916220^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96953899 + ... + 96996810.

It is an arithmetic number, because the mean of its divisors is an integer number (195405340325).

Almost surely, 2^{4161406412304} is an apocalyptic number.

It is an amenable number.

4161406412304 is an abundant number, since it is smaller than the sum of its proper divisors (7562914007196).

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

4161406412304 is a wasteful number, since it uses less digits than its factorization.

4161406412304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193950872 (or 193950863 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 4161406412304 in words is "four trillion, one hundred sixty-one billion, four hundred six million, four hundred twelve thousand, three hundred four".