4416499400 has 24 divisors (see below), whose sum is σ = 10268361570. Its totient is φ = 1766599680.

The previous prime is 4416499397. The next prime is 4416499429. The reversal of 4416499400 is 49946144.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2278916644 + 2137582756 = 47738^2 + 46234^2 .

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11041049 + ... + 11041448.

Almost surely, 2^4416499400 is an apocalyptic number.

4416499400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4416499400 is an abundant number, since it is smaller than the sum of its proper divisors (5851862170).

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

4416499400 is a wasteful number, since it uses less digits than its factorization.

4416499400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22082513 (or 22082504 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 4416499400 is about 66456.7483405561. The cubic root of 4416499400 is about 1640.6882150215.

The spelling of 4416499400 in words is "four billion, four hundred sixteen million, four hundred ninety-nine thousand, four hundred".