13804259040 has 576 divisors, whose sum is σ = 56665889280. Its totient is φ = 3015290880.

The previous prime is 13804259011. The next prime is 13804259059. The reversal of 13804259040 is 4095240831.

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 = 13804258986 and 13804259004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8853781 + ... + 8855339.

It is an arithmetic number, because the mean of its divisors is an integer number (98378280).

Almost surely, 2^13804259040 is an apocalyptic number.

13804259040 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 13804259040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28332944640).

13804259040 is an abundant number, since it is smaller than the sum of its proper divisors (42861630240).

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

13804259040 is a wasteful number, since it uses less digits than its factorization.

13804259040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 13804259040 its reverse (4095240831), we get a palindrome (17899499871).

The spelling of 13804259040 in words is "thirteen billion, eight hundred four million, two hundred fifty-nine thousand, forty".