4115436864 has 336 divisors, whose sum is σ = 14102340096. Its totient is φ = 1028966400.

The previous prime is 4115436859. The next prime is 4115436883. The reversal of 4115436864 is 4686345114.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12433179 + ... + 12433509.

Almost surely, 2^4115436864 is an apocalyptic number.

4115436864 is a gapful number since it is divisible by the number (44) 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 4115436864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7051170048).

4115436864 is an abundant number, since it is smaller than the sum of its proper divisors (9986903232).

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

4115436864 is a wasteful number, since it uses less digits than its factorization.

4115436864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 383 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 4115436864 is about 64151.6707810483. The cubic root of 4115436864 is about 1602.5268489624.

The spelling of 4115436864 in words is "four billion, one hundred fifteen million, four hundred thirty-six thousand, eight hundred sixty-four".