13434010242400 has 288 divisors, whose sum is σ = 37012796716896. Its totient is φ = 4718745600000.

The previous prime is 13434010242347. The next prime is 13434010242427. The reversal of 13434010242400 is 424201043431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36256474 + ... + 36625126.

It is an arithmetic number, because the mean of its divisors is an integer number (128516655267).

Almost surely, 2^{13434010242400} is an apocalyptic number.

13434010242400 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 13434010242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18506398358448).

13434010242400 is an abundant number, since it is smaller than the sum of its proper divisors (23578786474496).

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

13434010242400 is a wasteful number, since it uses less digits than its factorization.

13434010242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368826 (or 368813 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 13434010242400 its reverse (424201043431), we get a palindrome (13858211285831).

The spelling of 13434010242400 in words is "thirteen trillion, four hundred thirty-four billion, ten million, two hundred forty-two thousand, four hundred".