13352233002240 has 576 divisors, whose sum is σ = 49717518197760. Its totient is φ = 3018009477120.

The previous prime is 13352233002151. The next prime is 13352233002259. The reversal of 13352233002240 is 4220033225331.

It is a happy number.

It is a super-2 number, since 2×13352233002240² (a number of 27 digits) contains 22 as substring.

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 = 13352233002198 and 13352233002207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76747671 + ... + 76921449.

It is an arithmetic number, because the mean of its divisors is an integer number (86315135760).

Almost surely, 2^{13352233002240} is an apocalyptic number.

13352233002240 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 13352233002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24858759098880).

13352233002240 is an abundant number, since it is smaller than the sum of its proper divisors (36365285195520).

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

13352233002240 is a wasteful number, since it uses less digits than its factorization.

13352233002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173938 (or 173924 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 13352233002240 its reverse (4220033225331), we get a palindrome (17572266227571).

The spelling of 13352233002240 in words is "thirteen trillion, three hundred fifty-two billion, two hundred thirty-three million, two thousand, two hundred forty".