10412141440240 has 80 divisors (see below), whose sum is σ = 24553612753920. Its totient is φ = 4105456830720.

The previous prime is 10412141440177. The next prime is 10412141440271. The reversal of 10412141440240 is 4204414121401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 10412141440199 and 10412141440208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31912651 + ... + 32237269.

It is an arithmetic number, because the mean of its divisors is an integer number (306920159424).

Almost surely, 2^{10412141440240} is an apocalyptic number.

10412141440240 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 10412141440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12276806376960).

10412141440240 is an abundant number, since it is smaller than the sum of its proper divisors (14141471313680).

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

10412141440240 is a wasteful number, since it uses less digits than its factorization.

10412141440240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330350 (or 330344 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 10412141440240 its reverse (4204414121401), we get a palindrome (14616555561641).

The spelling of 10412141440240 in words is "ten trillion, four hundred twelve billion, one hundred forty-one million, four hundred forty thousand, two hundred forty".