13428367040 has 168 divisors, whose sum is σ = 36999397680. Its totient is φ = 4625786880.

The previous prime is 13428366977. The next prime is 13428367049. The reversal of 13428367040 is 4076382431.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 13428366985 and 13428367003.

It is not an unprimeable number, because it can be changed into a prime (13428367049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 726554 + ... + 744806.

It is an arithmetic number, because the mean of its divisors is an integer number (220234510).

Almost surely, 2^13428367040 is an apocalyptic number.

13428367040 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 13428367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18499698840).

13428367040 is an abundant number, since it is smaller than the sum of its proper divisors (23571030640).

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

13428367040 is a wasteful number, since it uses less digits than its factorization.

13428367040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18311 (or 18290 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 13428367040 in words is "thirteen billion, four hundred twenty-eight million, three hundred sixty-seven thousand, forty".