13430846126400 has 336 divisors, whose sum is σ = 44653649275200. Its totient is φ = 3533886259200.

The previous prime is 13430846126281. The next prime is 13430846126429. The reversal of 13430846126400 is 462164803431.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154070026 + ... + 154157174.

It is an arithmetic number, because the mean of its divisors is an integer number (132897765700).

Almost surely, 2^{13430846126400} is an apocalyptic number.

13430846126400 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 13430846126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22326824637600).

13430846126400 is an abundant number, since it is smaller than the sum of its proper divisors (31222803148800).

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

13430846126400 is a wasteful number, since it uses less digits than its factorization.

13430846126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87602 (or 87587 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 13430846126400 in words is "thirteen trillion, four hundred thirty billion, eight hundred forty-six million, one hundred twenty-six thousand, four hundred".