4131000918 has 128 divisors (see below), whose sum is σ = 10645655040. Its totient is φ = 1173519360.

The previous prime is 4131000911. The next prime is 4131000953. The reversal of 4131000918 is 8190001314.

4131000918 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4131000891 and 4131000900.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3160021 + ... + 3161327.

It is an arithmetic number, because the mean of its divisors is an integer number (83169180).

Almost surely, 2^4131000918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4131000918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322827520).

4131000918 is an abundant number, since it is smaller than the sum of its proper divisors (6514654122).

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

4131000918 is a wasteful number, since it uses less digits than its factorization.

4131000918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 4131000918 is about 64272.8629983137. The cubic root of 4131000918 is about 1604.5444912269.

The spelling of 4131000918 in words is "four billion, one hundred thirty-one million, nine hundred eighteen", and thus it is an aban number.