4413402400 has 216 divisors, whose sum is σ = 11969233920. Its totient is φ = 1587801600.

The previous prime is 4413402397. The next prime is 4413402463. The reversal of 4413402400 is 42043144.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 35 ways as a sum of consecutive naturals, for example, 12293421 + ... + 12293779.

It is an arithmetic number, because the mean of its divisors is an integer number (55413120).

Almost surely, 2^4413402400 is an apocalyptic number.

4413402400 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 4413402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5984616960).

4413402400 is an abundant number, since it is smaller than the sum of its proper divisors (7555831520).

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

4413402400 is a wasteful number, since it uses less digits than its factorization.

4413402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4413402400 is about 66433.4433850903. The cubic root of 4413402400 is about 1640.3046231681.

Adding to 4413402400 its reverse (42043144), we get a palindrome (4455445544).

The spelling of 4413402400 in words is "four billion, four hundred thirteen million, four hundred two thousand, four hundred".