4114414414332 has 72 divisors (see below), whose sum is σ = 10553405466240. Its totient is φ = 1351372286880.

The previous prime is 4114414414283. The next prime is 4114414414333. The reversal of 4114414414332 is 2334144144114.

4114414414332 is a `hidden beast` number, since 4 + 1 + 1 + 441 + 44 + 143 + 32 = 666.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114414414333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 684144 + ... + 2949047.

It is an arithmetic number, because the mean of its divisors is an integer number (146575075920).

Almost surely, 2^{4114414414332} is an apocalyptic number.

It is an amenable number.

4114414414332 is an abundant number, since it is smaller than the sum of its proper divisors (6438991051908).

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

4114414414332 is a wasteful number, since it uses less digits than its factorization.

4114414414332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633663 (or 3633658 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 4114414414332 its reverse (2334144144114), we get a palindrome (6448558558446).

The spelling of 4114414414332 in words is "four trillion, one hundred fourteen billion, four hundred fourteen million, four hundred fourteen thousand, three hundred thirty-two".