13421413223040 has 128 divisors (see below), whose sum is σ = 43936991493120. Its totient is φ = 3482312601600.

The previous prime is 13421413223011. The next prime is 13421413223081. The reversal of 13421413223040 is 4032231412431.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13421413222989 and 13421413223007.

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 15 ways as a sum of consecutive naturals, for example, 94392736 + ... + 94534815.

It is an arithmetic number, because the mean of its divisors is an integer number (343257746040).

Almost surely, 2^{13421413223040} is an apocalyptic number.

13421413223040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13421413223040 is an abundant number, since it is smaller than the sum of its proper divisors (30515578270080).

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

13421413223040 is a wasteful number, since it uses less digits than its factorization.

13421413223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188927610 (or 188927598 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 13421413223040 its reverse (4032231412431), we get a palindrome (17453644635471).

The spelling of 13421413223040 in words is "thirteen trillion, four hundred twenty-one billion, four hundred thirteen million, two hundred twenty-three thousand, forty".