13411413210140 has 768 divisors, whose sum is σ = 35339908939776. Its totient is φ = 4215214080000.

The previous prime is 13411413210131. The next prime is 13411413210263. The reversal of 13411413210140 is 4101231411431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 53431925015 + ... + 53431925265.

It is an arithmetic number, because the mean of its divisors is an integer number (46015506432).

Almost surely, 2^{13411413210140} is an apocalyptic number.

13411413210140 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 13411413210140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17669954469888).

13411413210140 is an abundant number, since it is smaller than the sum of its proper divisors (21928495729636).

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

13411413210140 is a wasteful number, since it uses less digits than its factorization.

13411413210140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 13411413210140 its reverse (4101231411431), we get a palindrome (17512644621571).

The spelling of 13411413210140 in words is "thirteen trillion, four hundred eleven billion, four hundred thirteen million, two hundred ten thousand, one hundred forty".