4400415968 has 48 divisors (see below), whose sum is σ = 9343103616. Its totient is φ = 2028049920.

The previous prime is 4400415953. The next prime is 4400415997. The reversal of 4400415968 is 8695140044.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297713 + ... + 312143.

It is an arithmetic number, because the mean of its divisors is an integer number (194647992).

Almost surely, 2^4400415968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4400415968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4671551808).

4400415968 is an abundant number, since it is smaller than the sum of its proper divisors (4942687648).

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

4400415968 is a wasteful number, since it uses less digits than its factorization.

4400415968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15187 (or 15179 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 4400415968 is about 66335.6312097805. The cubic root of 4400415968 is about 1638.6941776696.

The spelling of 4400415968 in words is "four billion, four hundred million, four hundred fifteen thousand, nine hundred sixty-eight".