4116932160 has 672 divisors, whose sum is σ = 16169518080. Its totient is φ = 877363200.

The previous prime is 4116932137. The next prime is 4116932161. The reversal of 4116932160 is 612396114.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4116932161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57984925 + ... + 57984995.

Almost surely, 2^4116932160 is an apocalyptic number.

4116932160 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 4116932160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8084759040).

4116932160 is an abundant number, since it is smaller than the sum of its proper divisors (12052585920).

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

4116932160 is a wasteful number, since it uses less digits than its factorization.

4116932160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 4116932160 is about 64163.3241034160. The cubic root of 4116932160 is about 1602.7209119426.

The spelling of 4116932160 in words is "four billion, one hundred sixteen million, nine hundred thirty-two thousand, one hundred sixty".