4004415116131 has 8 divisors (see below), whose sum is σ = 4101468591440. Its totient is φ = 3908458290528.

The previous prime is 4004415116089. The next prime is 4004415116161. The reversal of 4004415116131 is 1316115144004.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4004415116131 - 2⁷ = 4004415116003 is a prime.

It is a super-2 number, since 2×4004415116131² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4004415116093 and 4004415116102.

It is not an unprimeable number, because it can be changed into a prime (4004415116161) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 274155036 + ... + 274169641.

It is an arithmetic number, because the mean of its divisors is an integer number (512683573930).

Almost surely, 2^{4004415116131} is an apocalyptic number.

4004415116131 is a deficient number, since it is larger than the sum of its proper divisors (97053475309).

4004415116131 is a wasteful number, since it uses less digits than its factorization.

4004415116131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548324853.

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 4004415116131 in words is "four trillion, four billion, four hundred fifteen million, one hundred sixteen thousand, one hundred thirty-one".