13204450440 has 128 divisors (see below), whose sum is σ = 44157484800. Its totient is φ = 3509775360.

The previous prime is 13204450421. The next prime is 13204450471. The reversal of 13204450440 is 4405440231.

It is a happy number.

13204450440 is a `hidden beast` number, since 1 + 3 + 204 + 450 + 4 + 4 + 0 = 666.

It is a super-3 number, since 3×13204450440³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316224 + ... + 355536.

It is an arithmetic number, because the mean of its divisors is an integer number (344980350).

Almost surely, 2^13204450440 is an apocalyptic number.

13204450440 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 13204450440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22078742400).

13204450440 is an abundant number, since it is smaller than the sum of its proper divisors (30953034360).

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

13204450440 is a wasteful number, since it uses less digits than its factorization.

13204450440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39644 (or 39634 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 13204450440 its reverse (4405440231), we get a palindrome (17609890671).

The spelling of 13204450440 in words is "thirteen billion, two hundred four million, four hundred fifty thousand, four hundred forty".