13330346413440 has 512 divisors, whose sum is σ = 51560590694400. Its totient is φ = 2859699142656.

The previous prime is 13330346413421. The next prime is 13330346413463. The reversal of 13330346413440 is 4431464303331.

It is a super-3 number, since 3×13330346413440³ (a number of 40 digits) contains 333 as substring.

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, 81943062 + ... + 82105578.

It is an arithmetic number, because the mean of its divisors is an integer number (100704278700).

Almost surely, 2^{13330346413440} is an apocalyptic number.

13330346413440 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 13330346413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25780295347200).

13330346413440 is an abundant number, since it is smaller than the sum of its proper divisors (38230244280960).

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

13330346413440 is a wasteful number, since it uses less digits than its factorization.

13330346413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162922 (or 162910 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 39.

The spelling of 13330346413440 in words is "thirteen trillion, three hundred thirty billion, three hundred forty-six million, four hundred thirteen thousand, four hundred forty".