4102414033240 has 64 divisors (see below), whose sum is σ = 9352346572800. Its totient is φ = 1619314389888.

The previous prime is 4102414033171. The next prime is 4102414033279. The reversal of 4102414033240 is 423304142014.

It is a junction number, because it is equal to n+sod(n) for n = 4102414033199 and 4102414033208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5485077 + ... + 6187963.

It is an arithmetic number, because the mean of its divisors is an integer number (146130415200).

Almost surely, 2^{4102414033240} is an apocalyptic number.

4102414033240 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 4102414033240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4676173286400).

4102414033240 is an abundant number, since it is smaller than the sum of its proper divisors (5249932539560).

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

4102414033240 is a wasteful number, since it uses less digits than its factorization.

4102414033240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704824 (or 704820 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4102414033240 its reverse (423304142014), we get a palindrome (4525718175254).

The spelling of 4102414033240 in words is "four trillion, one hundred two billion, four hundred fourteen million, thirty-three thousand, two hundred forty".