13832409969840 has 1280 divisors, whose sum is σ = 57581000294400. Its totient is φ = 2660511744000.

The previous prime is 13832409969809. The next prime is 13832409969881. The reversal of 13832409969840 is 4896990423831.

13832409969840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2793859365 + ... + 2793864315.

It is an arithmetic number, because the mean of its divisors is an integer number (44985156480).

Almost surely, 2^{13832409969840} is an apocalyptic number.

13832409969840 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 13832409969840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28790500147200).

13832409969840 is an abundant number, since it is smaller than the sum of its proper divisors (43748590324560).

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

13832409969840 is a wasteful number, since it uses less digits than its factorization.

13832409969840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5186 (or 5180 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 66.

The spelling of 13832409969840 in words is "thirteen trillion, eight hundred thirty-two billion, four hundred nine million, nine hundred sixty-nine thousand, eight hundred forty".