13424295214080 has 1760 divisors, whose sum is σ = 51360376320000. Its totient is φ = 3347646382080.

The previous prime is 13424295214079. The next prime is 13424295214091. The reversal of 13424295214080 is 8041259242431.

13424295214080 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 4 + 2 + 9 + 521 + 40 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 67458769821 + ... + 67458770019.

It is an arithmetic number, because the mean of its divisors is an integer number (29182032000).

Almost surely, 2^{13424295214080} is an apocalyptic number.

13424295214080 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 13424295214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25680188160000).

13424295214080 is an abundant number, since it is smaller than the sum of its proper divisors (37936081105920).

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

13424295214080 is a wasteful number, since it uses less digits than its factorization.

13424295214080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 13424295214080 in words is "thirteen trillion, four hundred twenty-four billion, two hundred ninety-five million, two hundred fourteen thousand, eighty".