13410117240 has 256 divisors, whose sum is σ = 44391473280. Its totient is φ = 3220439040.

The previous prime is 13410117223. The next prime is 13410117307. The reversal of 13410117240 is 4271101431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13410117240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19925544 + ... + 19926216.

Almost surely, 2^13410117240 is an apocalyptic number.

13410117240 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 13410117240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22195736640).

13410117240 is an abundant number, since it is smaller than the sum of its proper divisors (30981356040).

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

13410117240 is a wasteful number, since it uses less digits than its factorization.

13410117240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

Adding to 13410117240 its reverse (4271101431), we get a palindrome (17681218671).

The spelling of 13410117240 in words is "thirteen billion, four hundred ten million, one hundred seventeen thousand, two hundred forty".