414041431242 has 32 divisors (see below), whose sum is σ = 847537118208. Its totient is φ = 134772923376.

The previous prime is 414041431229. The next prime is 414041431247. The reversal of 414041431242 is 242134140414.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (414041431247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 941743 + ... + 1309565.

It is an arithmetic number, because the mean of its divisors is an integer number (26485534944).

Almost surely, 2^414041431242 is an apocalyptic number.

414041431242 is an abundant number, since it is smaller than the sum of its proper divisors (433495686966).

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

414041431242 is a wasteful number, since it uses less digits than its factorization.

414041431242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372234.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 414041431242 its reverse (242134140414), we get a palindrome (656175571656).

The spelling of 414041431242 in words is "four hundred fourteen billion, forty-one million, four hundred thirty-one thousand, two hundred forty-two".