414042224144 has 40 divisors (see below), whose sum is σ = 815923134720. Its totient is φ = 203482444928.

The previous prime is 414042224131. The next prime is 414042224177. The reversal of 414042224144 is 441422240414.

It is a super-2 number, since 2×414042224144² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 414042224144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7294337 + ... + 7350879.

It is an arithmetic number, because the mean of its divisors is an integer number (20398078368).

Almost surely, 2^414042224144 is an apocalyptic number.

It is an amenable number.

414042224144 is a deficient number, since it is larger than the sum of its proper divisors (401880910576).

414042224144 is a wasteful number, since it uses less digits than its factorization.

414042224144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64367 (or 64361 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 414042224144 its reverse (441422240414), we get a palindrome (855464464558).

The spelling of 414042224144 in words is "four hundred fourteen billion, forty-two million, two hundred twenty-four thousand, one hundred forty-four".