4113270720 has 504 divisors, whose sum is σ = 15938120016. Its totient is φ = 1009262592.

The previous prime is 4113270713. The next prime is 4113270731. The reversal of 4113270720 is 270723114.

It is a happy number.

4113270720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13141284 + ... + 13141596.

It is an arithmetic number, because the mean of its divisors is an integer number (31623254).

Almost surely, 2^4113270720 is an apocalyptic number.

4113270720 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 4113270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7969060008).

4113270720 is an abundant number, since it is smaller than the sum of its proper divisors (11824849296).

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

4113270720 is a wasteful number, since it uses less digits than its factorization.

4113270720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 4113270720 is about 64134.7855691434. The cubic root of 4113270720 is about 1602.2456383848.

Adding to 4113270720 its reverse (270723114), we get a palindrome (4383993834).

The spelling of 4113270720 in words is "four billion, one hundred thirteen million, two hundred seventy thousand, seven hundred twenty".