414314244144 has 60 divisors (see below), whose sum is σ = 1159598245000. Its totient is φ = 138093576192.

The previous prime is 414314244121. The next prime is 414314244151. The reversal of 414314244144 is 441442413414.

414314244144 is a `hidden beast` number, since 4 + 1 + 431 + 42 + 44 + 144 = 666.

It is a super-2 number, since 2×414314244144² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 414314244099 and 414314244108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1776432 + ... + 1996080.

Almost surely, 2^414314244144 is an apocalyptic number.

It is an amenable number.

414314244144 is an abundant number, since it is smaller than the sum of its proper divisors (745284000856).

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

414314244144 is a wasteful number, since it uses less digits than its factorization.

414314244144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232762 (or 232753 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

Adding to 414314244144 its reverse (441442413414), we get a palindrome (855756657558).

The spelling of 414314244144 in words is "four hundred fourteen billion, three hundred fourteen million, two hundred forty-four thousand, one hundred forty-four".