413400410003434 has 32 divisors (see below), whose sum is σ = 712494000470016. Its totient is φ = 176219961540480.

The previous prime is 413400410003387. The next prime is 413400410003443. The reversal of 413400410003434 is 434300014004314.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 413400410003396 and 413400410003405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9067054 + ... + 30149830.

It is an arithmetic number, because the mean of its divisors is an integer number (22265437514688).

Almost surely, 2^{413400410003434} is an apocalyptic number.

413400410003434 is a deficient number, since it is larger than the sum of its proper divisors (299093590466582).

413400410003434 is a wasteful number, since it uses less digits than its factorization.

413400410003434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21090310.

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 413400410003434 its reverse (434300014004314), we get a palindrome (847700424007748).

The spelling of 413400410003434 in words is "four hundred thirteen trillion, four hundred billion, four hundred ten million, three thousand, four hundred thirty-four".