4102414013022 has 128 divisors (see below), whose sum is σ = 9141697195008. Its totient is φ = 1219121280000.

The previous prime is 4102414012999. The next prime is 4102414013023. The reversal of 4102414013022 is 2203104142014.

It is a super-3 number, since 3×4102414013022³ (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4102414012983 and 4102414013001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102414013023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 784847973 + ... + 784853199.

It is an arithmetic number, because the mean of its divisors is an integer number (71419509336).

Almost surely, 2^{4102414013022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102414013022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4570848597504).

4102414013022 is an abundant number, since it is smaller than the sum of its proper divisors (5039283181986).

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

4102414013022 is a wasteful number, since it uses less digits than its factorization.

4102414013022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7234.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4102414013022 its reverse (2203104142014), we get a palindrome (6305518155036).

The spelling of 4102414013022 in words is "four trillion, one hundred two billion, four hundred fourteen million, thirteen thousand, twenty-two".