13800823040 has 288 divisors, whose sum is σ = 37086336000. Its totient is φ = 4895539200.

The previous prime is 13800823031. The next prime is 13800823067. The reversal of 13800823040 is 4032800831.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13800822994 and 13800823012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27656711 + ... + 27657209.

It is an arithmetic number, because the mean of its divisors is an integer number (128772000).

Almost surely, 2^13800823040 is an apocalyptic number.

13800823040 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 13800823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18543168000).

13800823040 is an abundant number, since it is smaller than the sum of its proper divisors (23285512960).

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

13800823040 is a wasteful number, since it uses less digits than its factorization.

13800823040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 13800823040 in words is "thirteen billion, eight hundred million, eight hundred twenty-three thousand, forty".