13440312400 has 120 divisors (see below), whose sum is σ = 33230634264. Its totient is φ = 5221632000.

The previous prime is 13440312373. The next prime is 13440312439. The reversal of 13440312400 is 421304431.

It can be written as a sum of positive squares in 12 ways, for example, as 478034496 + 12962277904 = 21864^2 + 113852^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2138062 + ... + 2144338.

Almost surely, 2^13440312400 is an apocalyptic number.

13440312400 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 13440312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16615317132).

13440312400 is an abundant number, since it is smaller than the sum of its proper divisors (19790321864).

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

13440312400 is a wasteful number, since it uses less digits than its factorization.

13440312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6449 (or 6438 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 13440312400 its reverse (421304431), we get a palindrome (13861616831).

It can be divided in two parts, 1344031 and 2400, that added together give a palindrome (1346431).

The spelling of 13440312400 in words is "thirteen billion, four hundred forty million, three hundred twelve thousand, four hundred".