4430203000400 has 60 divisors (see below), whose sum is σ = 10647065652444. Its totient is φ = 1771497984000.

The previous prime is 4430203000369. The next prime is 4430203000423. The reversal of 4430203000400 is 40003020344.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 579047946304 + 3851155054096 = 760952^2 + 1962436^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 604631 + ... + 3037430.

Almost surely, 2^{4430203000400} is an apocalyptic number.

4430203000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4430203000400 is an abundant number, since it is smaller than the sum of its proper divisors (6216862652044).

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

4430203000400 is a wasteful number, since it uses less digits than its factorization.

4430203000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3645120 (or 3645109 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 4430203000400 its reverse (40003020344), we get a palindrome (4470206020744).

The spelling of 4430203000400 in words is "four trillion, four hundred thirty billion, two hundred three million, four hundred", and thus it is an aban number.