4165343287938 has 144 divisors (see below), whose sum is σ = 10981952631936. Its totient is φ = 1117482428160.

The previous prime is 4165343287907. The next prime is 4165343287939. The reversal of 4165343287938 is 8397823435614.

It is a happy number.

4165343287938 is a `hidden beast` number, since 4 + 1 + 6 + 5 + 343 + 287 + 9 + 3 + 8 = 666.

4165343287938 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4165343287939) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4734723 + ... + 5545113.

It is an arithmetic number, because the mean of its divisors is an integer number (76263559944).

Almost surely, 2^{4165343287938} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4165343287938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5490976315968).

4165343287938 is an abundant number, since it is smaller than the sum of its proper divisors (6816609343998).

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

4165343287938 is a wasteful number, since it uses less digits than its factorization.

4165343287938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810557 (or 810535 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 4165343287938 in words is "four trillion, one hundred sixty-five billion, three hundred forty-three million, two hundred eighty-seven thousand, nine hundred thirty-eight".