13353989040 has 480 divisors, whose sum is σ = 53403058176. Its totient is φ = 2926264320.

The previous prime is 13353989027. The next prime is 13353989081. The reversal of 13353989040 is 4098935331.

13353989040 is a `hidden beast` number, since 1 + 33 + 539 + 89 + 0 + 4 + 0 = 666.

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

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, 19842144 + ... + 19842816.

Almost surely, 2^13353989040 is an apocalyptic number.

13353989040 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 13353989040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26701529088).

13353989040 is an abundant number, since it is smaller than the sum of its proper divisors (40049069136).

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

13353989040 is a wasteful number, since it uses less digits than its factorization.

13353989040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 13353989040 in words is "thirteen billion, three hundred fifty-three million, nine hundred eighty-nine thousand, forty".