13245433542400 has 216 divisors, whose sum is σ = 33413577175440. Its totient is φ = 5196909281280.

The previous prime is 13245433542379. The next prime is 13245433542431. The reversal of 13245433542400 is 424533454231.

It is a super-2 number, since 2×13245433542400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172524822 + ... + 172601578.

Almost surely, 2^{13245433542400} is an apocalyptic number.

13245433542400 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 13245433542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16706788587720).

13245433542400 is an abundant number, since it is smaller than the sum of its proper divisors (20168143633040).

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

13245433542400 is an equidigital number, since it uses as much as digits as its factorization.

13245433542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77299 (or 77280 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

Adding to 13245433542400 its reverse (424533454231), we get a palindrome (13669966996631).

The spelling of 13245433542400 in words is "thirteen trillion, two hundred forty-five billion, four hundred thirty-three million, five hundred forty-two thousand, four hundred".