13354420232240 has 320 divisors, whose sum is σ = 32667693133824. Its totient is φ = 5072440320000.

The previous prime is 13354420232221. The next prime is 13354420232261. The reversal of 13354420232240 is 4223202445331.

It is a super-2 number, since 2×13354420232240² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13354420232240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8838133085 + ... + 8838134595.

Almost surely, 2^{13354420232240} is an apocalyptic number.

13354420232240 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 13354420232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16333846566912).

13354420232240 is an abundant number, since it is smaller than the sum of its proper divisors (19313272901584).

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

13354420232240 is a wasteful number, since it uses less digits than its factorization.

13354420232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 13354420232240 its reverse (4223202445331), we get a palindrome (17577622677571).

The spelling of 13354420232240 in words is "thirteen trillion, three hundred fifty-four billion, four hundred twenty million, two hundred thirty-two thousand, two hundred forty".