13821940440 has 640 divisors, whose sum is σ = 61346419200. Its totient is φ = 2702315520.

The previous prime is 13821940427. The next prime is 13821940471. The reversal of 13821940440 is 4404912831.

It is a happy number.

13821940440 is a `hidden beast` number, since 1 + 38 + 219 + 404 + 4 + 0 = 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 = 13821940395 and 13821940404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4239531 + ... + 4242789.

It is an arithmetic number, because the mean of its divisors is an integer number (95853780).

Almost surely, 2^13821940440 is an apocalyptic number.

13821940440 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 13821940440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30673209600).

13821940440 is an abundant number, since it is smaller than the sum of its proper divisors (47524478760).

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

13821940440 is a wasteful number, since it uses less digits than its factorization.

13821940440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3317 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 13821940440 in words is "thirteen billion, eight hundred twenty-one million, nine hundred forty thousand, four hundred forty".