4114308018240 has 1008 divisors, whose sum is σ = 17508757921200. Its totient is φ = 881112121344.

The previous prime is 4114308018211. The next prime is 4114308018241. The reversal of 4114308018240 is 428108034114.

It is a happy number.

4114308018240 is a `hidden beast` number, since 4 + 1 + 1 + 430 + 8 + 0 + 182 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 453392142336 + 3660915875904 = 673344^2 + 1913352^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a junction number, because it is equal to n+sod(n) for n = 4114308018195 and 4114308018204.

It is not an unprimeable number, because it can be changed into a prime (4114308018241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 549376416 + ... + 549383904.

It is an arithmetic number, because the mean of its divisors is an integer number (17369799525).

Almost surely, 2^{4114308018240} is an apocalyptic number.

4114308018240 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 4114308018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8754378960600).

4114308018240 is an abundant number, since it is smaller than the sum of its proper divisors (13394449902960).

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

4114308018240 is a wasteful number, since it uses less digits than its factorization.

4114308018240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7772 (or 7752 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 4114308018240 in words is "four trillion, one hundred fourteen billion, three hundred eight million, eighteen thousand, two hundred forty".