413034223200400 has 30 divisors (see below), whose sum is σ = 992314721239922. Its totient is φ = 165213689280000.

The previous prime is 413034223200341. The next prime is 413034223200437. The reversal of 413034223200400 is 4002322430314.

It can be written as a sum of positive squares in 3 ways, for example, as 2529830215936 + 410504392984464 = 1590544^2 + 20260908^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 516292778601 + ... + 516292779400.

Almost surely, 2^{413034223200400} is an apocalyptic number.

413034223200400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413034223200400 is an abundant number, since it is smaller than the sum of its proper divisors (579280498039522).

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

413034223200400 is a wasteful number, since it uses less digits than its factorization.

413034223200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032585558019 (or 1032585558008 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 413034223200400 its reverse (4002322430314), we get a palindrome (417036545630714).

The spelling of 413034223200400 in words is "four hundred thirteen trillion, thirty-four billion, two hundred twenty-three million, two hundred thousand, four hundred".