414200345415 has 16 divisors (see below), whose sum is σ = 684098635776. Its totient is φ = 213780823200.

The previous prime is 414200345389. The next prime is 414200345483. The reversal of 414200345415 is 514543002414.

It is a happy number.

It is not a de Polignac number, because 414200345415 - 2²² = 414196151111 is a prime.

It is a super-2 number, since 2×414200345415² (a number of 24 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 445376251 + ... + 445377180.

It is an arithmetic number, because the mean of its divisors is an integer number (42756164736).

Almost surely, 2^414200345415 is an apocalyptic number.

414200345415 is a deficient number, since it is larger than the sum of its proper divisors (269898290361).

414200345415 is a wasteful number, since it uses less digits than its factorization.

414200345415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890753470.

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 414200345415 its reverse (514543002414), we get a palindrome (928743347829).

The spelling of 414200345415 in words is "four hundred fourteen billion, two hundred million, three hundred forty-five thousand, four hundred fifteen".