13410533455440 has 320 divisors, whose sum is σ = 46473812985600. Its totient is φ = 3170674278400.

The previous prime is 13410533455433. The next prime is 13410533455447. The reversal of 13410533455440 is 4455433501431.

It is an interprime number because it is at equal distance from previous prime (13410533455433) and next prime (13410533455447).

It is a junction number, because it is equal to n+sod(n) for n = 13410533455392 and 13410533455401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13410533455447) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 347322856 + ... + 347361464.

It is an arithmetic number, because the mean of its divisors is an integer number (145230665580).

Almost surely, 2^{13410533455440} is an apocalyptic number.

13410533455440 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 13410533455440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23236906492800).

13410533455440 is an abundant number, since it is smaller than the sum of its proper divisors (33063279530160).

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

13410533455440 is a wasteful number, since it uses less digits than its factorization.

13410533455440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41886 (or 41880 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

Adding to 13410533455440 its reverse (4455433501431), we get a palindrome (17865966956871).

The spelling of 13410533455440 in words is "thirteen trillion, four hundred ten billion, five hundred thirty-three million, four hundred fifty-five thousand, four hundred forty".