13276316101440 has 1344 divisors, whose sum is σ = 51214865442048. Its totient is φ = 2903143219200.

The previous prime is 13276316101409. The next prime is 13276316101469. The reversal of 13276316101440 is 4410161367231.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 31535192430 + ... + 31535192850.

It is an arithmetic number, because the mean of its divisors is an integer number (38106298692).

Almost surely, 2^{13276316101440} is an apocalyptic number.

13276316101440 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 13276316101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25607432721024).

13276316101440 is an abundant number, since it is smaller than the sum of its proper divisors (37938549340608).

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

13276316101440 is a wasteful number, since it uses less digits than its factorization.

13276316101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

Adding to 13276316101440 its reverse (4410161367231), we get a palindrome (17686477468671).

The spelling of 13276316101440 in words is "thirteen trillion, two hundred seventy-six billion, three hundred sixteen million, one hundred one thousand, four hundred forty".