13440452400 has 90 divisors (see below), whose sum is σ = 46642115780. Its totient is φ = 3584119680.

The previous prime is 13440452371. The next prime is 13440452407. The reversal of 13440452400 is 425404431.

It is a happy number.

13440452400 is a `hidden beast` number, since 13 + 4 + 404 + 5 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is not an unprimeable number, because it can be changed into a prime (13440452407) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1863130 + ... + 1870329.

Almost surely, 2^13440452400 is an apocalyptic number.

13440452400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13440452400 is an abundant number, since it is smaller than the sum of its proper divisors (33201663380).

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

13440452400 is a wasteful number, since it uses less digits than its factorization.

13440452400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3733483 (or 3733469 counting only the distinct ones).

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

Adding to 13440452400 its reverse (425404431), we get a palindrome (13865856831).

The spelling of 13440452400 in words is "thirteen billion, four hundred forty million, four hundred fifty-two thousand, four hundred".