4114231144140 has 192 divisors, whose sum is σ = 12553565552640. Its totient is φ = 1000750464000.

The previous prime is 4114231144007. The next prime is 4114231144159. The reversal of 4114231144140 is 414411324114.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4114231144098 and 4114231144107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24781326 + ... + 24946794.

It is an arithmetic number, because the mean of its divisors is an integer number (65383153920).

Almost surely, 2^{4114231144140} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4114231144140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6276782776320).

4114231144140 is an abundant number, since it is smaller than the sum of its proper divisors (8439334408500).

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

4114231144140 is a wasteful number, since it uses less digits than its factorization.

4114231144140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165872 (or 165870 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 4114231144140 its reverse (414411324114), we get a palindrome (4528642468254).

The spelling of 4114231144140 in words is "four trillion, one hundred fourteen billion, two hundred thirty-one million, one hundred forty-four thousand, one hundred forty".