13260499219440 has 1920 divisors, whose sum is σ = 52784321587200. Its totient is φ = 3055391539200.

The previous prime is 13260499219439. The next prime is 13260499219459. The reversal of 13260499219440 is 4491299406231.

13260499219440 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 0 + 499 + 21 + 94 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 95399274891 + ... + 95399275029.

It is an arithmetic number, because the mean of its divisors is an integer number (27491834160).

Almost surely, 2^{13260499219440} is an apocalyptic number.

13260499219440 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 13260499219440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26392160793600).

13260499219440 is an abundant number, since it is smaller than the sum of its proper divisors (39523822367760).

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

13260499219440 is a wasteful number, since it uses less digits than its factorization.

13260499219440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 13260499219440 in words is "thirteen trillion, two hundred sixty billion, four hundred ninety-nine million, two hundred nineteen thousand, four hundred forty".