4399964400 has 240 divisors, whose sum is σ = 15839986176. Its totient is φ = 1035893760.

The previous prime is 4399964389. The next prime is 4399964417. The reversal of 4399964400 is 44699934.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4399964400.

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, 352669 + ... + 364931.

Almost surely, 2^4399964400 is an apocalyptic number.

4399964400 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 4399964400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7919993088).

4399964400 is an abundant number, since it is smaller than the sum of its proper divisors (11440021776).

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

4399964400 is a wasteful number, since it uses less digits than its factorization.

4399964400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12320 (or 12309 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The square root of 4399964400 is about 66332.2274614685. The cubic root of 4399964400 is about 1638.6381218201.

The spelling of 4399964400 in words is "four billion, three hundred ninety-nine million, nine hundred sixty-four thousand, four hundred".