12414789161400 has 768 divisors, whose sum is σ = 41740138460160. Its totient is φ = 3044321280000.

The previous prime is 12414789161381. The next prime is 12414789161419. The reversal of 12414789161400 is 416198741421.

It is an interprime number because it is at equal distance from previous prime (12414789161381) and next prime (12414789161419).

It is a self number, because there is not a number n which added to its sum of digits gives 12414789161400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20121213892 + ... + 20121214508.

It is an arithmetic number, because the mean of its divisors is an integer number (54349138620).

Almost surely, 2^{12414789161400} is an apocalyptic number.

12414789161400 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 12414789161400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20870069230080).

12414789161400 is an abundant number, since it is smaller than the sum of its proper divisors (29325349298760).

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

12414789161400 is a wasteful number, since it uses less digits than its factorization.

12414789161400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 12414789161400 in words is "twelve trillion, four hundred fourteen billion, seven hundred eighty-nine million, one hundred sixty-one thousand, four hundred".