12741364054400 has 384 divisors, whose sum is σ = 33791712192000. Its totient is φ = 4730277888000.

The previous prime is 12741364054399. The next prime is 12741364054411. The reversal of 12741364054400 is 445046314721.

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, 1141796021 + ... + 1141807179.

It is an arithmetic number, because the mean of its divisors is an integer number (87999250500).

Almost surely, 2^{12741364054400} is an apocalyptic number.

12741364054400 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 12741364054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16895856096000).

12741364054400 is an abundant number, since it is smaller than the sum of its proper divisors (21050348137600).

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

12741364054400 is a wasteful number, since it uses less digits than its factorization.

12741364054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11490 (or 11473 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 41.

The spelling of 12741364054400 in words is "twelve trillion, seven hundred forty-one billion, three hundred sixty-four million, fifty-four thousand, four hundred".