13205034040 has 64 divisors (see below), whose sum is σ = 33457950720. Its totient is φ = 4646928000.

The previous prime is 13205034023. The next prime is 13205034043. The reversal of 13205034040 is 4043050231.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13205034043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 470416 + ... + 497695.

It is an arithmetic number, because the mean of its divisors is an integer number (522780480).

Almost surely, 2^13205034040 is an apocalyptic number.

13205034040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13205034040 is an abundant number, since it is smaller than the sum of its proper divisors (20252916680).

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

13205034040 is a wasteful number, since it uses less digits than its factorization.

13205034040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968164 (or 968160 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 13205034040 its reverse (4043050231), we get a palindrome (17248084271).

The spelling of 13205034040 in words is "thirteen billion, two hundred five million, thirty-four thousand, forty".