13142324434400 has 576 divisors, whose sum is σ = 38275720197120. Its totient is φ = 4312750080000.

The previous prime is 13142324434363. The next prime is 13142324434411. The reversal of 13142324434400 is 443442324131.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12747161885 + ... + 12747162915.

It is an arithmetic number, because the mean of its divisors is an integer number (66450903120).

Almost surely, 2^{13142324434400} is an apocalyptic number.

13142324434400 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 13142324434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19137860098560).

13142324434400 is an abundant number, since it is smaller than the sum of its proper divisors (25133395762720).

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

13142324434400 is a wasteful number, since it uses less digits than its factorization.

13142324434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 13142324434400 its reverse (443442324131), we get a palindrome (13585766758531).

The spelling of 13142324434400 in words is "thirteen trillion, one hundred forty-two billion, three hundred twenty-four million, four hundred thirty-four thousand, four hundred".