4162604808096 has 480 divisors, whose sum is σ = 14779730972160. Its totient is φ = 1122712441344.

The previous prime is 4162604808067. The next prime is 4162604808113. The reversal of 4162604808096 is 6908084062614.

4162604808096 is a `hidden beast` number, since 4 + 1 + 626 + 0 + 4 + 8 + 0 + 8 + 0 + 9 + 6 = 666.

4162604808096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 97538955 + ... + 97581621.

It is an arithmetic number, because the mean of its divisors is an integer number (30791106192).

Almost surely, 2^{4162604808096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4162604808096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7389865486080).

4162604808096 is an abundant number, since it is smaller than the sum of its proper divisors (10617126164064).

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

4162604808096 is a wasteful number, since it uses less digits than its factorization.

4162604808096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42998 (or 42981 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 4162604808096 in words is "four trillion, one hundred sixty-two billion, six hundred four million, eight hundred eight thousand, ninety-six".