13405504004004 has 48 divisors (see below), whose sum is σ = 37629484928000. Its totient is φ = 3628557474336.

The previous prime is 13405504003993. The next prime is 13405504004063. The reversal of 13405504004004 is 40040040550431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4199717704 + ... + 4199720895.

Almost surely, 2^{13405504004004} is an apocalyptic number.

13405504004004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13405504004004 is an abundant number, since it is smaller than the sum of its proper divisors (24223980923996).

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

13405504004004 is a wasteful number, since it uses less digits than its factorization.

13405504004004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8399438632 (or 8399438630 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 13405504004004 its reverse (40040040550431), we get a palindrome (53445544554435).

The spelling of 13405504004004 in words is "thirteen trillion, four hundred five billion, five hundred four million, four thousand, four".