13832447040 has 336 divisors, whose sum is σ = 49146439680. Its totient is φ = 3568250880.

The previous prime is 13832447033. The next prime is 13832447053. The reversal of 13832447040 is 4074423831.

It is a super-2 number, since 2×13832447040² (a number of 21 digits) contains 22 as substring.

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 = 13832446986 and 13832447004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28877521 + ... + 28877999.

Almost surely, 2^13832447040 is an apocalyptic number.

13832447040 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 13832447040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24573219840).

13832447040 is an abundant number, since it is smaller than the sum of its proper divisors (35313992640).

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

13832447040 is a wasteful number, since it uses less digits than its factorization.

13832447040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 13832447040 in words is "thirteen billion, eight hundred thirty-two million, four hundred forty-seven thousand, forty".