414434131241204 has 12 divisors (see below), whose sum is σ = 727337837782500. Its totient is φ = 206623320446208.

The previous prime is 414434131241191. The next prime is 414434131241231. The reversal of 414434131241204 is 402142131434414.

It can be written as a sum of positive squares in 2 ways, for example, as 312356490432100 + 102077640809104 = 17673610^2 + 10103348^2 .

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 148436292029 + ... + 148436294820.

It is an arithmetic number, because the mean of its divisors is an integer number (60611486481875).

Almost surely, 2^{414434131241204} is an apocalyptic number.

It is an amenable number.

414434131241204 is a deficient number, since it is larger than the sum of its proper divisors (312903706541296).

414434131241204 is a wasteful number, since it uses less digits than its factorization.

414434131241204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296872587202 (or 296872587200 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

Adding to 414434131241204 its reverse (402142131434414), we get a palindrome (816576262675618).

The spelling of 414434131241204 in words is "four hundred fourteen trillion, four hundred thirty-four billion, one hundred thirty-one million, two hundred forty-one thousand, two hundred four".