4113933120 has 672 divisors, whose sum is σ = 16432865280. Its totient is φ = 935424000.

The previous prime is 4113933091. The next prime is 4113933149. The reversal of 4113933120 is 213393114.

It is an interprime number because it is at equal distance from previous prime (4113933091) and next prime (4113933149).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57942685 + ... + 57942755.

Almost surely, 2^4113933120 is an apocalyptic number.

4113933120 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 4113933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8216432640).

4113933120 is an abundant number, since it is smaller than the sum of its proper divisors (12318932160).

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

4113933120 is a wasteful number, since it uses less digits than its factorization.

4113933120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 4113933120 is about 64139.9494854806. The cubic root of 4113933120 is about 1602.3316421691.

The spelling of 4113933120 in words is "four billion, one hundred thirteen million, nine hundred thirty-three thousand, one hundred twenty".