4113132320 has 384 divisors, whose sum is σ = 12070840320. Its totient is φ = 1305722880.

The previous prime is 4113132319. The next prime is 4113132391. The reversal of 4113132320 is 232313114.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4113132292 and 4113132301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29590811 + ... + 29590949.

It is an arithmetic number, because the mean of its divisors is an integer number (31434480).

Almost surely, 2^4113132320 is an apocalyptic number.

4113132320 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 4113132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6035420160).

4113132320 is an abundant number, since it is smaller than the sum of its proper divisors (7957708000).

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

4113132320 is a wasteful number, since it uses less digits than its factorization.

4113132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 4113132320 is about 64133.7065824204. The cubic root of 4113132320 is about 1602.2276678289.

Adding to 4113132320 its reverse (232313114), we get a palindrome (4345445434).

The spelling of 4113132320 in words is "four billion, one hundred thirteen million, one hundred thirty-two thousand, three hundred twenty".