4114402344140 has 96 divisors (see below), whose sum is σ = 9542001982464. Its totient is φ = 1477699407360.

The previous prime is 4114402344133. The next prime is 4114402344197. The reversal of 4114402344140 is 414432044114.

It is a junction number, because it is equal to n+sod(n) for n = 4114402344097 and 4114402344106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68024792 + ... + 68085248.

It is an arithmetic number, because the mean of its divisors is an integer number (99395853984).

Almost surely, 2^{4114402344140} 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 4114402344140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4771000991232).

4114402344140 is an abundant number, since it is smaller than the sum of its proper divisors (5427599638324).

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

4114402344140 is a wasteful number, since it uses less digits than its factorization.

4114402344140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64287 (or 64285 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 4114402344140 its reverse (414432044114), we get a palindrome (4528834388254).

The spelling of 4114402344140 in words is "four trillion, one hundred fourteen billion, four hundred two million, three hundred forty-four thousand, one hundred forty".