13404150544400 has 240 divisors, whose sum is σ = 42262931189760. Its totient is φ = 3958026508800.

The previous prime is 13404150544349. The next prime is 13404150544459. The reversal of 13404150544400 is 444505140431.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 47 ways as a sum of consecutive naturals, for example, 10867424 + ... + 12037823.

It is an arithmetic number, because the mean of its divisors is an integer number (176095546624).

Almost surely, 2^{13404150544400} is an apocalyptic number.

13404150544400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13404150544400 is an abundant number, since it is smaller than the sum of its proper divisors (28858780645360).

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

13404150544400 is a wasteful number, since it uses less digits than its factorization.

13404150544400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22905302 (or 22905291 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 13404150544400 its reverse (444505140431), we get a palindrome (13848655684831).

The spelling of 13404150544400 in words is "thirteen trillion, four hundred four billion, one hundred fifty million, five hundred forty-four thousand, four hundred".