3443404120400 has 30 divisors (see below), whose sum is σ = 8272778400222. Its totient is φ = 1377361648000.

The previous prime is 3443404120243. The next prime is 3443404120459. The reversal of 3443404120400 is 40214043443.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 263288029456 + 3180116090944 = 513116^2 + 1783288^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4304254751 + ... + 4304255550.

Almost surely, 2^{3443404120400} is an apocalyptic number.

It is an amenable number.

3443404120400 is an abundant number, since it is smaller than the sum of its proper divisors (4829374279822).

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

3443404120400 is a wasteful number, since it uses less digits than its factorization.

3443404120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8608510319 (or 8608510308 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 3443404120400 its reverse (40214043443), we get a palindrome (3483618163843).

The spelling of 3443404120400 in words is "three trillion, four hundred forty-three billion, four hundred four million, one hundred twenty thousand, four hundred".