4114543241160 has 768 divisors, whose sum is σ = 15101770844160. Its totient is φ = 962952560640.

The previous prime is 4114543241147. The next prime is 4114543241161. The reversal of 4114543241160 is 611423454114.

4114543241160 is a `hidden beast` number, since 4 + 1 + 1 + 454 + 3 + 2 + 41 + 160 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4114543241161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7308247039 + ... + 7308247601.

It is an arithmetic number, because the mean of its divisors is an integer number (19663764120).

Almost surely, 2^{4114543241160} is an apocalyptic number.

4114543241160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4114543241160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7550885422080).

4114543241160 is an abundant number, since it is smaller than the sum of its proper divisors (10987227603000).

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

4114543241160 is a wasteful number, since it uses less digits than its factorization.

4114543241160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 4114543241160 its reverse (611423454114), we get a palindrome (4725966695274).

The spelling of 4114543241160 in words is "four trillion, one hundred fourteen billion, five hundred forty-three million, two hundred forty-one thousand, one hundred sixty".