4115415120 has 80 divisors (see below), whose sum is σ = 12889383360. Its totient is φ = 1086124032.

The previous prime is 4115415119. The next prime is 4115415133. The reversal of 4115415120 is 215145114.

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

It is a super-2 number, since 2×4115415120² = 33873283219849228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 65110 + ... + 111669.

It is an arithmetic number, because the mean of its divisors is an integer number (161117292).

Almost surely, 2^4115415120 is an apocalyptic number.

4115415120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4115415120 is an abundant number, since it is smaller than the sum of its proper divisors (8773968240).

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

4115415120 is a wasteful number, since it uses less digits than its factorization.

4115415120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176892 (or 176886 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 4115415120 is about 64151.5013074519. The cubic root of 4115415120 is about 1602.5240266289.

The spelling of 4115415120 in words is "four billion, one hundred fifteen million, four hundred fifteen thousand, one hundred twenty".