13442563040 has 48 divisors (see below), whose sum is σ = 31784695488. Its totient is φ = 5372514816.

The previous prime is 13442563019. The next prime is 13442563067. The reversal of 13442563040 is 4036524431.

13442563040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 13442562988 and 13442563006.

It is a congruent number.

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, 159449 + ... + 228711.

It is an arithmetic number, because the mean of its divisors is an integer number (662181156).

Almost surely, 2^13442563040 is an apocalyptic number.

13442563040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13442563040 is an abundant number, since it is smaller than the sum of its proper divisors (18342132448).

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

13442563040 is a wasteful number, since it uses less digits than its factorization.

13442563040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70491 (or 70483 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The spelling of 13442563040 in words is "thirteen billion, four hundred forty-two million, five hundred sixty-three thousand, forty".