4408680960 has 480 divisors, whose sum is σ = 16712055360. Its totient is φ = 1110786048.

The previous prime is 4408680959. The next prime is 4408680973. The reversal of 4408680960 is 690868044.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 11819334 + ... + 11819706.

It is an arithmetic number, because the mean of its divisors is an integer number (34816782).

Almost surely, 2^4408680960 is an apocalyptic number.

4408680960 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 4408680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8356027680).

4408680960 is an abundant number, since it is smaller than the sum of its proper divisors (12303374400).

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

4408680960 is an equidigital number, since it uses as much as digits as its factorization.

4408680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4408680960 is about 66397.8987619337. The cubic root of 4408680960 is about 1639.7194840461.

The spelling of 4408680960 in words is "four billion, four hundred eight million, six hundred eighty thousand, nine hundred sixty".