13355325205040 has 320 divisors, whose sum is σ = 38447705856000. Its totient is φ = 4201243656192.

The previous prime is 13355325204973. The next prime is 13355325205067. The reversal of 13355325205040 is 4050252355331.

It is a super-2 number, since 2×13355325205040² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13355325204985 and 13355325205003.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1626908456 + ... + 1626916664.

It is an arithmetic number, because the mean of its divisors is an integer number (120149080800).

Almost surely, 2^{13355325205040} is an apocalyptic number.

13355325205040 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 13355325205040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19223852928000).

13355325205040 is an abundant number, since it is smaller than the sum of its proper divisors (25092380650960).

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

13355325205040 is a wasteful number, since it uses less digits than its factorization.

13355325205040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9564 (or 9558 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 38.

The spelling of 13355325205040 in words is "thirteen trillion, three hundred fifty-five billion, three hundred twenty-five million, two hundred five thousand, forty".