4490200960 has 128 divisors (see below), whose sum is σ = 12305802240. Its totient is φ = 1534740480.

The previous prime is 4490200927. The next prime is 4490200991. The reversal of 4490200960 is 690020944.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4490200960² = 40323809322369843200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1642795 + ... + 1645525.

It is an arithmetic number, because the mean of its divisors is an integer number (96139080).

Almost surely, 2^4490200960 is an apocalyptic number.

4490200960 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 4490200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6152901120).

4490200960 is an abundant number, since it is smaller than the sum of its proper divisors (7815601280).

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

4490200960 is a wasteful number, since it uses less digits than its factorization.

4490200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3124 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 4490200960 is about 67008.9617887041. The cubic root of 4490200960 is about 1649.7643936623.

The spelling of 4490200960 in words is "four billion, four hundred ninety million, two hundred thousand, nine hundred sixty".