13343411034400 has 144 divisors (see below), whose sum is σ = 32790380359464. Its totient is φ = 5302026362880.

The previous prime is 13343411034329. The next prime is 13343411034449. The reversal of 13343411034400 is 443011434331.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 4001072071824 + 9342338962576 = 2000268^2 + 3056524^2 .

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, 604501764 + ... + 604523836.

Almost surely, 2^{13343411034400} is an apocalyptic number.

13343411034400 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 13343411034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16395190179732).

13343411034400 is an abundant number, since it is smaller than the sum of its proper divisors (19446969325064).

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

13343411034400 is a wasteful number, since it uses less digits than its factorization.

13343411034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27063 (or 27050 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 13343411034400 its reverse (443011434331), we get a palindrome (13786422468731).

The spelling of 13343411034400 in words is "thirteen trillion, three hundred forty-three billion, four hundred eleven million, thirty-four thousand, four hundred".