4304412000400 has 240 divisors, whose sum is σ = 10589489640000. Its totient is φ = 1680900802560.

The previous prime is 4304412000373. The next prime is 4304412000407. The reversal of 4304412000400 is 40002144034.

It is not an unprimeable number, because it can be changed into a prime (4304412000407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2406042706 + ... + 2406044494.

It is an arithmetic number, because the mean of its divisors is an integer number (44122873500).

Almost surely, 2^{4304412000400} is an apocalyptic number.

4304412000400 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 4304412000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5294744820000).

4304412000400 is an abundant number, since it is smaller than the sum of its proper divisors (6285077639600).

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

4304412000400 is a wasteful number, since it uses less digits than its factorization.

4304412000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2503 counting only the distinct ones).

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

Adding to 4304412000400 its reverse (40002144034), we get a palindrome (4344414144434).

The spelling of 4304412000400 in words is "four trillion, three hundred four billion, four hundred twelve million, four hundred", and thus it is an aban number.