12741378710400 has 1536 divisors, whose sum is σ = 49224599424000. Its totient is φ = 3214865203200.

The previous prime is 12741378710399. The next prime is 12741378710471. The reversal of 12741378710400 is 401787314721.

12741378710400 is a `hidden beast` number, since 1 + 27 + 4 + 137 + 87 + 10 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35491305421 + ... + 35491305779.

It is an arithmetic number, because the mean of its divisors is an integer number (32047265250).

Almost surely, 2^{12741378710400} is an apocalyptic number.

12741378710400 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 12741378710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24612299712000).

12741378710400 is an abundant number, since it is smaller than the sum of its proper divisors (36483220713600).

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

12741378710400 is a wasteful number, since it uses less digits than its factorization.

12741378710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 12741378710400 in words is "twelve trillion, seven hundred forty-one billion, three hundred seventy-eight million, seven hundred ten thousand, four hundred".