414042224145 has 32 divisors (see below), whose sum is σ = 734539307904. Its totient is φ = 197456793600.

The previous prime is 414042224131. The next prime is 414042224177. The reversal of 414042224145 is 541422240414.

It is not a de Polignac number, because 414042224145 - 2¹⁹ = 414041699857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 20558352 + ... + 20578481.

It is an arithmetic number, because the mean of its divisors is an integer number (22954353372).

Almost surely, 2^414042224145 is an apocalyptic number.

It is an amenable number.

414042224145 is a deficient number, since it is larger than the sum of its proper divisors (320497083759).

414042224145 is a wasteful number, since it uses less digits than its factorization.

414042224145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41136913.

The product of its (nonzero) digits is 40960, while the sum is 33.

Adding to 414042224145 its reverse (541422240414), we get a palindrome (955464464559).

The spelling of 414042224145 in words is "four hundred fourteen billion, forty-two million, two hundred twenty-four thousand, one hundred forty-five".