4451880960 has 416 divisors, whose sum is σ = 16182794880. Its totient is φ = 1160773632.

The previous prime is 4451880947. The next prime is 4451880971. The reversal of 4451880960 is 690881544.

4451880960 is a `hidden beast` number, since 44 + 518 + 8 + 0 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45895632 + ... + 45895728.

Almost surely, 2^4451880960 is an apocalyptic number.

4451880960 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 4451880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8091397440).

4451880960 is an abundant number, since it is smaller than the sum of its proper divisors (11730913920).

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

4451880960 is an equidigital number, since it uses as much as digits as its factorization.

4451880960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 4451880960 is about 66722.4172223998. The cubic root of 4451880960 is about 1645.0578731375.

The spelling of 4451880960 in words is "four billion, four hundred fifty-one million, eight hundred eighty thousand, nine hundred sixty".