13888409040 has 300 divisors, whose sum is σ = 53023280772. Its totient is φ = 3366696960.

The previous prime is 13888408991. The next prime is 13888409047. The reversal of 13888409040 is 4090488831.

13888409040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9567187344 + 4321221696 = 97812^2 + 65736^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13888409047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 775224 + ... + 792936.

Almost surely, 2^13888409040 is an apocalyptic number.

13888409040 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 13888409040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26511640386).

13888409040 is an abundant number, since it is smaller than the sum of its proper divisors (39134871732).

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

13888409040 is a wasteful number, since it uses less digits than its factorization.

13888409040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17760 (or 17734 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 13888409040 in words is "thirteen billion, eight hundred eighty-eight million, four hundred nine thousand, forty".