4131362268 has 72 divisors (see below), whose sum is σ = 11423018880. Its totient is φ = 1248579360.

The previous prime is 4131362233. The next prime is 4131362269. The reversal of 4131362268 is 8622631314.

4131362268 is a `hidden beast` number, since 4 + 1 + 31 + 362 + 268 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4131362269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136321 + ... + 163847.

It is an arithmetic number, because the mean of its divisors is an integer number (158653040).

Almost surely, 2^4131362268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4131362268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5711509440).

4131362268 is an abundant number, since it is smaller than the sum of its proper divisors (7291656612).

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

4131362268 is a wasteful number, since it uses less digits than its factorization.

4131362268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27927 (or 27922 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 4131362268 is about 64275.6739987999. The cubic root of 4131362268 is about 1604.5912745012.

The spelling of 4131362268 in words is "four billion, one hundred thirty-one million, three hundred sixty-two thousand, two hundred sixty-eight".