4464096000 has 864 divisors, whose sum is σ = 18829556928. Its totient is φ = 928972800.

The previous prime is 4464095963. The next prime is 4464096017. The reversal of 4464096000 is 6904644.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61151964 + ... + 61152036.

Almost surely, 2^4464096000 is an apocalyptic number.

4464096000 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 4464096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9414778464).

4464096000 is an abundant number, since it is smaller than the sum of its proper divisors (14365460928).

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

4464096000 is a wasteful number, since it uses less digits than its factorization.

4464096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 4464096000 is about 66813.8907713059. The cubic root of 4464096000 is about 1646.5610652737.

The spelling of 4464096000 in words is "four billion, four hundred sixty-four million, ninety-six thousand".