4135318824 has 128 divisors (see below), whose sum is σ = 12757248000. Its totient is φ = 1087789824.

The previous prime is 4135318793. The next prime is 4135318861. The reversal of 4135318824 is 4288135314.

It is a super-2 number, since 2×4135318824² = 34201723552257485952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 912837 + ... + 917355.

It is an arithmetic number, because the mean of its divisors is an integer number (99666000).

Almost surely, 2^4135318824 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 4135318824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6378624000).

4135318824 is an abundant number, since it is smaller than the sum of its proper divisors (8621929176).

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

4135318824 is a wasteful number, since it uses less digits than its factorization.

4135318824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4967 (or 4963 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 4135318824 is about 64306.4446537048. Note that the first 3 decimals coincide. The cubic root of 4135318824 is about 1605.1033436626.

The spelling of 4135318824 in words is "four billion, one hundred thirty-five million, three hundred eighteen thousand, eight hundred twenty-four".