4391106720 has 1152 divisors, whose sum is σ = 20187740160. Its totient is φ = 776355840.

The previous prime is 4391106703. The next prime is 4391106743. The reversal of 4391106720 is 276011934.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 118678542 + ... + 118678578.

It is an arithmetic number, because the mean of its divisors is an integer number (17524080).

Almost surely, 2^4391106720 is an apocalyptic number.

4391106720 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 4391106720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10093870080).

4391106720 is an abundant number, since it is smaller than the sum of its proper divisors (15796633440).

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

4391106720 is a wasteful number, since it uses less digits than its factorization.

4391106720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 4391106720 is about 66265.4262794710. The cubic root of 4391106720 is about 1637.5377884565.

It can be divided in two parts, 4391 and 106720, that added together give a palindrome (111111).

The spelling of 4391106720 in words is "four billion, three hundred ninety-one million, one hundred six thousand, seven hundred twenty".