4415135160 has 128 divisors (see below), whose sum is σ = 13791124800. Its totient is φ = 1129390080.

The previous prime is 4415135159. The next prime is 4415135167. The reversal of 4415135160 is 615315144.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4415135167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 542320 + ... + 550400.

Almost surely, 2^4415135160 is an apocalyptic number.

4415135160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4415135160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6895562400).

4415135160 is an abundant number, since it is smaller than the sum of its proper divisors (9375989640).

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

4415135160 is a wasteful number, since it uses less digits than its factorization.

4415135160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8281 (or 8277 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 4415135160 is about 66446.4834283952. The cubic root of 4415135160 is about 1640.5192634912.

The spelling of 4415135160 in words is "four billion, four hundred fifteen million, one hundred thirty-five thousand, one hundred sixty".