13841067240 has 1536 divisors, whose sum is σ = 66189312000. Its totient is φ = 2525644800.

The previous prime is 13841067221. The next prime is 13841067269. The reversal of 13841067240 is 4276014831.

13841067240 is a `hidden beast` number, since 138 + 410 + 6 + 72 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13841067195 and 13841067204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 234594331 + ... + 234594389.

It is an arithmetic number, because the mean of its divisors is an integer number (43092000).

Almost surely, 2^13841067240 is an apocalyptic number.

13841067240 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 13841067240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33094656000).

13841067240 is an abundant number, since it is smaller than the sum of its proper divisors (52348244760).

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

13841067240 is a wasteful number, since it uses less digits than its factorization.

13841067240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 13841067240 in words is "thirteen billion, eight hundred forty-one million, sixty-seven thousand, two hundred forty".