4400012400 has 360 divisors, whose sum is σ = 17012375424. Its totient is φ = 952128000.

The previous prime is 4400012363. The next prime is 4400012417. The reversal of 4400012400 is 42100044.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4400012400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3031675 + ... + 3033125.

Almost surely, 2^4400012400 is an apocalyptic number.

4400012400 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 4400012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8506187712).

4400012400 is an abundant number, since it is smaller than the sum of its proper divisors (12612363024).

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

4400012400 is a wasteful number, since it uses less digits than its factorization.

4400012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4400012400 is about 66332.5892755590. The cubic root of 4400012400 is about 1638.6440805307.

Adding to 4400012400 its reverse (42100044), we get a palindrome (4442112444).

The spelling of 4400012400 in words is "four billion, four hundred million, twelve thousand, four hundred".