4115136960 has 672 divisors, whose sum is σ = 17014862592. Its totient is φ = 935608320.

The previous prime is 4115136959. The next prime is 4115136979. The reversal of 4115136960 is 696315114.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14540979 + ... + 14541261.

It is an arithmetic number, because the mean of its divisors is an integer number (25319736).

Almost surely, 2^4115136960 is an apocalyptic number.

4115136960 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 4115136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8507431296).

4115136960 is an abundant number, since it is smaller than the sum of its proper divisors (12899725632).

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

4115136960 is a wasteful number, since it uses less digits than its factorization.

4115136960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 4115136960 is about 64149.3332779071. Note that the first 3 decimals coincide. The cubic root of 4115136960 is about 1602.4879210670.

The spelling of 4115136960 in words is "four billion, one hundred fifteen million, one hundred thirty-six thousand, nine hundred sixty".