13434617226240 has 792 divisors, whose sum is σ = 54433035741240. Its totient is φ = 3054759837696.

The previous prime is 13434617226209. The next prime is 13434617226361. The reversal of 13434617226240 is 4262271643431.

13434617226240 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 4 + 6 + 17 + 2 + 2 + 624 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2108861604864 + 11325755621376 = 1452192^2 + 3365376^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 435763146 + ... + 435793974.

Almost surely, 2^{13434617226240} is an apocalyptic number.

13434617226240 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 13434617226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27216517870620).

13434617226240 is an abundant number, since it is smaller than the sum of its proper divisors (40998418515000).

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

13434617226240 is a wasteful number, since it uses less digits than its factorization.

13434617226240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31067 (or 31039 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

Adding to 13434617226240 its reverse (4262271643431), we get a palindrome (17696888869671).

The spelling of 13434617226240 in words is "thirteen trillion, four hundred thirty-four billion, six hundred seventeen million, two hundred twenty-six thousand, two hundred forty".