4404176197164 has 90 divisors (see below), whose sum is σ = 11687796789900. Its totient is φ = 1446146930448.

The previous prime is 4404176197153. The next prime is 4404176197171. The reversal of 4404176197164 is 4617916714044.

4404176197164 is a `hidden beast` number, since 4 + 4 + 0 + 4 + 1 + 7 + 619 + 7 + 16 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4404176197164.

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 29 ways as a sum of consecutive naturals, for example, 59614 + ... + 2968485.

Almost surely, 2^{4404176197164} 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 4404176197164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5843898394950).

4404176197164 is an abundant number, since it is smaller than the sum of its proper divisors (7283620592736).

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

4404176197164 is a wasteful number, since it uses less digits than its factorization.

4404176197164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028249 (or 3028171 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 4404176197164 in words is "four trillion, four hundred four billion, one hundred seventy-six million, one hundred ninety-seven thousand, one hundred sixty-four".