4451116320 has 768 divisors, whose sum is σ = 19198771200. Its totient is φ = 940584960.

The previous prime is 4451116289. The next prime is 4451116321. The reversal of 4451116320 is 236111544.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (4451116321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35048097 + ... + 35048223.

It is an arithmetic number, because the mean of its divisors is an integer number (24998400).

Almost surely, 2^4451116320 is an apocalyptic number.

4451116320 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 4451116320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9599385600).

4451116320 is an abundant number, since it is smaller than the sum of its proper divisors (14747654880).

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

4451116320 is a wasteful number, since it uses less digits than its factorization.

4451116320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4451116320 is about 66716.6869681042. The cubic root of 4451116320 is about 1644.9636845547.

Adding to 4451116320 its reverse (236111544), we get a palindrome (4687227864).

It can be divided in two parts, 445 and 1116320, that added together give a triangular number (1116765 = T₁₄₉₄).

The spelling of 4451116320 in words is "four billion, four hundred fifty-one million, one hundred sixteen thousand, three hundred twenty".