413033214400 has 42 divisors (see below), whose sum is σ = 1016319857120. Its totient is φ = 165213285120.

The previous prime is 413033214311. The next prime is 413033214421. The reversal of 413033214400 is 4412330314.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 129071280 + ... + 129074479.

Almost surely, 2^413033214400 is an apocalyptic number.

413033214400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413033214400 is an abundant number, since it is smaller than the sum of its proper divisors (603286642720).

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

413033214400 is a wasteful number, since it uses less digits than its factorization.

413033214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258145781 (or 258145766 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 413033214400 its reverse (4412330314), we get a palindrome (417445544714).

The spelling of 413033214400 in words is "four hundred thirteen billion, thirty-three million, two hundred fourteen thousand, four hundred".