4181109031 has 16 divisors (see below), whose sum is σ = 4643693856. Its totient is φ = 3732480000.

The previous prime is 4181109001. The next prime is 4181109041. The reversal of 4181109031 is 1309011814.

It is a 13-Lehmer number, since φ(4181109031) divides (4181109031-1)¹³.

It is a cyclic number.

It is not a de Polignac number, because 4181109031 - 2⁷ = 4181108903 is a prime.

It is a super-2 number, since 2×4181109031² = 34963345458219517922, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4181109001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425251 + ... + 434971.

It is an arithmetic number, because the mean of its divisors is an integer number (290230866).

Almost surely, 2^4181109031 is an apocalyptic number.

4181109031 is the 28918-th centered decagonal number.

4181109031 is a deficient number, since it is larger than the sum of its proper divisors (462584825).

4181109031 is a wasteful number, since it uses less digits than its factorization.

4181109031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10434.

The product of its (nonzero) digits is 864, while the sum is 28.

The square root of 4181109031 is about 64661.4957374170. The cubic root of 4181109031 is about 1611.0060236383.

The spelling of 4181109031 in words is "four billion, one hundred eighty-one million, one hundred nine thousand, thirty-one".