13430423114240 has 160 divisors (see below), whose sum is σ = 35138775063744. Its totient is φ = 4882424381440.

The previous prime is 13430423114201. The next prime is 13430423114261. The reversal of 13430423114240 is 4241132403431.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 13430423114197 and 13430423114206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103479467 + ... + 103609173.

Almost surely, 2^{13430423114240} is an apocalyptic number.

13430423114240 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 13430423114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17569387531872).

13430423114240 is an abundant number, since it is smaller than the sum of its proper divisors (21708351949504).

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

13430423114240 is a wasteful number, since it uses less digits than its factorization.

13430423114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133418 (or 133402 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 13430423114240 its reverse (4241132403431), we get a palindrome (17671555517671).

The spelling of 13430423114240 in words is "thirteen trillion, four hundred thirty billion, four hundred twenty-three million, one hundred fourteen thousand, two hundred forty".