4004180117190 has 96 divisors (see below), whose sum is σ = 11358313083936. Its totient is φ = 970624673280.

The previous prime is 4004180117177. The next prime is 4004180117219. The reversal of 4004180117190 is 917110814004.

It is a happy number.

4004180117190 is a `hidden beast` number, since 40 + 0 + 418 + 0 + 1 + 17 + 190 = 666.

It is a super-2 number, since 2×4004180117190² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11427234 + ... + 11772426.

It is an arithmetic number, because the mean of its divisors is an integer number (118315761291).

Almost surely, 2^{4004180117190} is an apocalyptic number.

4004180117190 is an abundant number, since it is smaller than the sum of its proper divisors (7354132966746).

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

4004180117190 is a wasteful number, since it uses less digits than its factorization.

4004180117190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356934 (or 356931 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 4004180117190 in words is "four trillion, four billion, one hundred eighty million, one hundred seventeen thousand, one hundred ninety".