13040334064800 has 648 divisors, whose sum is σ = 55825777609056. Its totient is φ = 2805312430080.

The previous prime is 13040334064697. The next prime is 13040334064859. The reversal of 13040334064800 is 846043304031.

It is a happy number.

13040334064800 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 0 + 3 + 3 + 4 + 0 + 648 + 0 + 0 = 666.

It is a super-3 number, since 3×13040334064800³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 14117959 + ... + 15013241.

It is an arithmetic number, because the mean of its divisors is an integer number (86150891372).

Almost surely, 2^{13040334064800} is an apocalyptic number.

13040334064800 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 13040334064800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27912888804528).

13040334064800 is an abundant number, since it is smaller than the sum of its proper divisors (42785443544256).

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

13040334064800 is a wasteful number, since it uses less digits than its factorization.

13040334064800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895350 (or 895317 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 13040334064800 its reverse (846043304031), we get a palindrome (13886377368831).

The spelling of 13040334064800 in words is "thirteen trillion, forty billion, three hundred thirty-four million, sixty-four thousand, eight hundred".