13458440360640 has 448 divisors, whose sum is σ = 48516677038080. Its totient is φ = 3157396070400.

The previous prime is 13458440360611. The next prime is 13458440360683. The reversal of 13458440360640 is 4606304485431.

It is a super-2 number, since 2×13458440360640² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13458440360640.

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, 39440676 + ... + 39780444.

Almost surely, 2^{13458440360640} is an apocalyptic number.

13458440360640 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 13458440360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24258338519040).

13458440360640 is an abundant number, since it is smaller than the sum of its proper divisors (35058236677440).

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

13458440360640 is a wasteful number, since it uses less digits than its factorization.

13458440360640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339853 (or 339821 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 13458440360640 in words is "thirteen trillion, four hundred fifty-eight billion, four hundred forty million, three hundred sixty thousand, six hundred forty".