13044434454400 has 192 divisors, whose sum is σ = 33595375896720. Its totient is φ = 5000268349440.

The previous prime is 13044434454377. The next prime is 13044434454431. The reversal of 13044434454400 is 445443444031.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6398464 + ... + 8187136.

Almost surely, 2^{13044434454400} is an apocalyptic number.

13044434454400 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 13044434454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16797687948360).

13044434454400 is an abundant number, since it is smaller than the sum of its proper divisors (20550941442320).

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

13044434454400 is a wasteful number, since it uses less digits than its factorization.

13044434454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788793 (or 1788776 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 40.

Adding to 13044434454400 its reverse (445443444031), we get a palindrome (13489877898431).

The spelling of 13044434454400 in words is "thirteen trillion, forty-four billion, four hundred thirty-four million, four hundred fifty-four thousand, four hundred".