13403082097460 has 192 divisors, whose sum is σ = 32076608256000. Its totient is φ = 4659535964160.

The previous prime is 13403082097459. The next prime is 13403082097501. The reversal of 13403082097460 is 6479028030431.

It is a super-2 number, since 2×13403082097460² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1223238302 + ... + 1223249258.

It is an arithmetic number, because the mean of its divisors is an integer number (167065668000).

Almost surely, 2^{13403082097460} is an apocalyptic number.

13403082097460 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 13403082097460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16038304128000).

13403082097460 is an abundant number, since it is smaller than the sum of its proper divisors (18673526158540).

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

13403082097460 is a wasteful number, since it uses less digits than its factorization.

13403082097460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12874 (or 12872 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 47.

The spelling of 13403082097460 in words is "thirteen trillion, four hundred three billion, eighty-two million, ninety-seven thousand, four hundred sixty".