10002414243040 has 96 divisors (see below), whose sum is σ = 24138489836160. Its totient is φ = 3915026632704.

The previous prime is 10002414243013. The next prime is 10002414243053. The reversal of 10002414243040 is 4034241420001.

It is a junction number, because it is equal to n+sod(n) for n = 10002414242996 and 10002414243014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36780204 + ... + 37051156.

It is an arithmetic number, because the mean of its divisors is an integer number (251442602460).

Almost surely, 2^{10002414243040} is an apocalyptic number.

10002414243040 is a gapful number since it is divisible by the number (10) 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 10002414243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12069244918080).

10002414243040 is an abundant number, since it is smaller than the sum of its proper divisors (14136075593120).

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

10002414243040 is a wasteful number, since it uses less digits than its factorization.

10002414243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275924 (or 275916 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 10002414243040 its reverse (4034241420001), we get a palindrome (14036655663041).

The spelling of 10002414243040 in words is "ten trillion, two billion, four hundred fourteen million, two hundred forty-three thousand, forty".