4131000919 has 16 divisors (see below), whose sum is σ = 4397192800. Its totient is φ = 3869835264.

The previous prime is 4131000911. The next prime is 4131000953. The reversal of 4131000919 is 9190001314.

It is a happy number.

It is a 16-Lehmer number, since φ(4131000919) divides (4131000919-1)¹⁶.

It is a cyclic number.

It is not a de Polignac number, because 4131000919 - 2³ = 4131000911 is a prime.

It is a super-2 number, since 2×4131000919² = 34130337185557689122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4131000911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1193239 + ... + 1196695.

It is an arithmetic number, because the mean of its divisors is an integer number (274824550).

Almost surely, 2^4131000919 is an apocalyptic number.

4131000919 is a deficient number, since it is larger than the sum of its proper divisors (266191881).

4131000919 is a wasteful number, since it uses less digits than its factorization.

4131000919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162.

The product of its (nonzero) digits is 972, while the sum is 28.

The square root of 4131000919 is about 64272.8630060930. The cubic root of 4131000919 is about 1604.5444913564.

The spelling of 4131000919 in words is "four billion, one hundred thirty-one million, nine hundred nineteen", and thus it is an aban number.