13580433040 has 40 divisors (see below), whose sum is σ = 31643084088. Its totient is φ = 5420375040.

The previous prime is 13580432981. The next prime is 13580433059. The reversal of 13580433040 is 4033408531.

13580433040 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 4 ways, for example, as 3240797184 + 10339635856 = 56928^2 + 101684^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 13580432993 and 13580433011.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 147237 + ... + 220996.

Almost surely, 2^13580433040 is an apocalyptic number.

13580433040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13580433040 is an abundant number, since it is smaller than the sum of its proper divisors (18062651048).

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

13580433040 is a wasteful number, since it uses less digits than its factorization.

13580433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368707 (or 368701 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 13580433040 in words is "thirteen billion, five hundred eighty million, four hundred thirty-three thousand, forty".