4117615152 has 160 divisors (see below), whose sum is σ = 13220439552. Its totient is φ = 1077276672.

The previous prime is 4117615129. The next prime is 4117615163. The reversal of 4117615152 is 2515167114.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201603 + ... + 221085.

Almost surely, 2^4117615152 is an apocalyptic number.

4117615152 is a gapful number since it is divisible by the number (42) 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 4117615152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6610219776).

4117615152 is an abundant number, since it is smaller than the sum of its proper divisors (9102824400).

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

4117615152 is a wasteful number, since it uses less digits than its factorization.

4117615152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19555 (or 19549 counting only the distinct ones).

The product of its digits is 8400, while the sum is 33.

The square root of 4117615152 is about 64168.6461755272. The cubic root of 4117615152 is about 1602.8095365941.

The spelling of 4117615152 in words is "four billion, one hundred seventeen million, six hundred fifteen thousand, one hundred fifty-two".