413043441400 has 48 divisors (see below), whose sum is σ = 964152118440. Its totient is φ = 164559120000.

The previous prime is 413043441383. The next prime is 413043441407. The reversal of 413043441400 is 4144340314.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413043441407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4063779 + ... + 4164178.

Almost surely, 2^413043441400 is an apocalyptic number.

413043441400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413043441400 is an abundant number, since it is smaller than the sum of its proper divisors (551108677040).

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

413043441400 is a wasteful number, since it uses less digits than its factorization.

413043441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8228224 (or 8228215 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 413043441400 its reverse (4144340314), we get a palindrome (417187781714).

The spelling of 413043441400 in words is "four hundred thirteen billion, forty-three million, four hundred forty-one thousand, four hundred".