13434001440240 has 40 divisors (see below), whose sum is σ = 41645404465488. Its totient is φ = 3582400384000.

The previous prime is 13434001440221. The next prime is 13434001440323. The reversal of 13434001440240 is 4204410043431.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13434001440198 and 13434001440207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27987502761 + ... + 27987503240.

Almost surely, 2^{13434001440240} is an apocalyptic number.

13434001440240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13434001440240 is an abundant number, since it is smaller than the sum of its proper divisors (28211403025248).

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

13434001440240 is a wasteful number, since it uses less digits than its factorization.

13434001440240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55975006017 (or 55975006011 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 13434001440240 its reverse (4204410043431), we get a palindrome (17638411483671).

The spelling of 13434001440240 in words is "thirteen trillion, four hundred thirty-four billion, one million, four hundred forty thousand, two hundred forty".