13411330401140 has 192 divisors, whose sum is σ = 33937733168640. Its totient is φ = 4355193692160.

The previous prime is 13411330401109. The next prime is 13411330401173. The reversal of 13411330401140 is 4110403311431.

It is a congruent number.

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, 96988571 + ... + 97126749.

It is an arithmetic number, because the mean of its divisors is an integer number (176759026920).

Almost surely, 2^{13411330401140} is an apocalyptic number.

13411330401140 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 13411330401140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16968866584320).

13411330401140 is an abundant number, since it is smaller than the sum of its proper divisors (20526402767500).

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

13411330401140 is a wasteful number, since it uses less digits than its factorization.

13411330401140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138730 (or 138728 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 13411330401140 its reverse (4110403311431), we get a palindrome (17521733712571).

The spelling of 13411330401140 in words is "thirteen trillion, four hundred eleven billion, three hundred thirty million, four hundred one thousand, one hundred forty".