12480756338400 has 432 divisors, whose sum is σ = 47437411061376. Its totient is φ = 2792039316480.

The previous prime is 12480756338381. The next prime is 12480756338417. The reversal of 12480756338400 is 483365708421.

It is a happy number.

12480756338400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36943047 + ... + 37279353.

Almost surely, 2^{12480756338400} is an apocalyptic number.

12480756338400 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 12480756338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23718705530688).

12480756338400 is an abundant number, since it is smaller than the sum of its proper divisors (34956654722976).

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

12480756338400 is a wasteful number, since it uses less digits than its factorization.

12480756338400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336431 (or 336371 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 12480756338400 in words is "twelve trillion, four hundred eighty billion, seven hundred fifty-six million, three hundred thirty-eight thousand, four hundred".