13040008547904 has 896 divisors, whose sum is σ = 42583242240000. Its totient is φ = 3888680140800.

The previous prime is 13040008547879. The next prime is 13040008547941. The reversal of 13040008547904 is 40974580004031.

13040008547904 is a `hidden beast` number, since 13 + 0 + 4 + 0 + 0 + 0 + 8 + 547 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13040008547904.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29042335072 + ... + 29042335520.

It is an arithmetic number, because the mean of its divisors is an integer number (47525940000).

Almost surely, 2^{13040008547904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13040008547904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21291621120000).

13040008547904 is an abundant number, since it is smaller than the sum of its proper divisors (29543233692096).

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

13040008547904 is a wasteful number, since it uses less digits than its factorization.

13040008547904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 13040008547904 in words is "thirteen trillion, forty billion, eight million, five hundred forty-seven thousand, nine hundred four".