13143245414400 has 1344 divisors, whose sum is σ = 53358356275200. Its totient is φ = 3154756239360.

The previous prime is 13143245414359. The next prime is 13143245414477. The reversal of 13143245414400 is 441454234131.

It is a happy number.

13143245414400 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 3 + 245 + 4 + 1 + 4 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2162070561 + ... + 2162076639.

Almost surely, 2^{13143245414400} is an apocalyptic number.

13143245414400 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 13143245414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26679178137600).

13143245414400 is an abundant number, since it is smaller than the sum of its proper divisors (40215110860800).

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

13143245414400 is a wasteful number, since it uses less digits than its factorization.

13143245414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6164 (or 6129 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 13143245414400 its reverse (441454234131), we get a palindrome (13584699648531).

The spelling of 13143245414400 in words is "thirteen trillion, one hundred forty-three billion, two hundred forty-five million, four hundred fourteen thousand, four hundred".