13226242940928 has 392 divisors, whose sum is σ = 39783923323536. Its totient is φ = 4394771251200.

The previous prime is 13226242940917. The next prime is 13226242940929. The reversal of 13226242940928 is 82904924262231.

13226242940928 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 624 + 2 + 9 + 4 + 0 + 9 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13226242940929) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1976718063 + ... + 1976724753.

Almost surely, 2^{13226242940928} is an apocalyptic number.

13226242940928 is a gapful number since it is divisible by the number (18) 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 13226242940928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19891961661768).

13226242940928 is an abundant number, since it is smaller than the sum of its proper divisors (26557680382608).

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

13226242940928 is an frugal number, since it uses more digits than its factorization.

13226242940928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7066 (or 7027 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 13226242940928 in words is "thirteen trillion, two hundred twenty-six billion, two hundred forty-two million, nine hundred forty thousand, nine hundred twenty-eight".