13343010414000 has 640 divisors, whose sum is σ = 46312321536000. Its totient is φ = 3295019520000.

The previous prime is 13343010413977. The next prime is 13343010414029. The reversal of 13343010414000 is 41401034331.

It is a super-2 number, since 2×13343010414000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 909598666 + ... + 909613334.

It is an arithmetic number, because the mean of its divisors is an integer number (72363002400).

Almost surely, 2^{13343010414000} is an apocalyptic number.

13343010414000 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 13343010414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23156160768000).

13343010414000 is an abundant number, since it is smaller than the sum of its proper divisors (32969311122000).

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

13343010414000 is a wasteful number, since it uses less digits than its factorization.

13343010414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14894 (or 14878 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13343010414000 its reverse (41401034331), we get a palindrome (13384411448331).

The spelling of 13343010414000 in words is "thirteen trillion, three hundred forty-three billion, ten million, four hundred fourteen thousand".