13405454304000 has 576 divisors, whose sum is σ = 49607728515072. Its totient is φ = 3180650496000.

The previous prime is 13405454303957. The next prime is 13405454304031. The reversal of 13405454304000 is 40345450431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 63 ways as a sum of consecutive naturals, for example, 49496952 + ... + 49767048.

It is an arithmetic number, because the mean of its divisors is an integer number (86124528672).

Almost surely, 2^{13405454304000} is an apocalyptic number.

13405454304000 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 13405454304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24803864257536).

13405454304000 is an abundant number, since it is smaller than the sum of its proper divisors (36202274211072).

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

13405454304000 is a wasteful number, since it uses less digits than its factorization.

13405454304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270189 (or 270165 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 13405454304000 its reverse (40345450431), we get a palindrome (13445799754431).

The spelling of 13405454304000 in words is "thirteen trillion, four hundred five billion, four hundred fifty-four million, three hundred four thousand".