4115355120 has 80 divisors (see below), whose sum is σ = 14175119520. Its totient is φ = 1097427456.

The previous prime is 4115355089. The next prime is 4115355149. The reversal of 4115355120 is 215535114.

4115355120 is a `hidden beast` number, since 4 + 1 + 1 + 535 + 5 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4115355120² = 33872295527420428800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 950469 + ... + 954788.

It is an arithmetic number, because the mean of its divisors is an integer number (177188994).

Almost surely, 2^4115355120 is an apocalyptic number.

4115355120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4115355120 is an abundant number, since it is smaller than the sum of its proper divisors (10059764400).

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

4115355120 is a wasteful number, since it uses less digits than its factorization.

4115355120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905279 (or 1905267 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 4115355120 is about 64151.0336627556. The cubic root of 4115355120 is about 1602.5162386816.

The spelling of 4115355120 in words is "four billion, one hundred fifteen million, three hundred fifty-five thousand, one hundred twenty".