13410334080 has 1024 divisors, whose sum is σ = 57330201600. Its totient is φ = 2956124160.

The previous prime is 13410334073. The next prime is 13410334087. The reversal of 13410334080 is 8043301431.

It is an interprime number because it is at equal distance from previous prime (13410334073) and next prime (13410334087).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13410334087) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 200154207 + ... + 200154273.

It is an arithmetic number, because the mean of its divisors is an integer number (55986525).

Almost surely, 2^13410334080 is an apocalyptic number.

13410334080 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 13410334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28665100800).

13410334080 is an abundant number, since it is smaller than the sum of its proper divisors (43919867520).

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

13410334080 is an equidigital number, since it uses as much as digits as its factorization.

13410334080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 13410334080 in words is "thirteen billion, four hundred ten million, three hundred thirty-four thousand, eighty".