13821815040 has 576 divisors, whose sum is σ = 51624179712. Its totient is φ = 3117875200.

The previous prime is 13821814921. The next prime is 13821815143. The reversal of 13821815040 is 4051812831.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 13821814992 and 13821815010.

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, 39832147 + ... + 39832493.

It is an arithmetic number, because the mean of its divisors is an integer number (89625312).

Almost surely, 2^13821815040 is an apocalyptic number.

13821815040 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 13821815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25812089856).

13821815040 is an abundant number, since it is smaller than the sum of its proper divisors (37802364672).

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

13821815040 is a wasteful number, since it uses less digits than its factorization.

13821815040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 13821815040 in words is "thirteen billion, eight hundred twenty-one million, eight hundred fifteen thousand, forty".