414200431330 has 64 divisors (see below), whose sum is σ = 865825873920. Its totient is φ = 139723936704.

The previous prime is 414200431327. The next prime is 414200431331. The reversal of 414200431330 is 33134002414.

It is a junction number, because it is equal to n+sod(n) for n = 414200431295 and 414200431304.

It is not an unprimeable number, because it can be changed into a prime (414200431331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3882279 + ... + 3987541.

It is an arithmetic number, because the mean of its divisors is an integer number (13528529280).

Almost surely, 2^414200431330 is an apocalyptic number.

414200431330 is an abundant number, since it is smaller than the sum of its proper divisors (451625442590).

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

414200431330 is a wasteful number, since it uses less digits than its factorization.

414200431330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106183.

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

Adding to 414200431330 its reverse (33134002414), we get a palindrome (447334433744).

The spelling of 414200431330 in words is "four hundred fourteen billion, two hundred million, four hundred thirty-one thousand, three hundred thirty".