13040884032 has 112 divisors (see below), whose sum is σ = 37798394304. Its totient is φ = 3935232000.

The previous prime is 13040884009. The next prime is 13040884081. The reversal of 13040884032 is 23048804031.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 13040883984 and 13040884002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496182 + ... + 521802.

Almost surely, 2^13040884032 is an apocalyptic number.

13040884032 is a gapful number since it is divisible by the number (12) 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 13040884032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18899197152).

13040884032 is an abundant number, since it is smaller than the sum of its proper divisors (24757510272).

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

13040884032 is a wasteful number, since it uses less digits than its factorization.

13040884032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25888 (or 25878 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 13040884032 in words is "thirteen billion, forty million, eight hundred eighty-four thousand, thirty-two".