127410320449984 has 448 divisors, whose sum is σ = 315551890128384. Its totient is φ = 50146836480000.

The previous prime is 127410320449903. The next prime is 127410320450011. The reversal of 127410320449984 is 489944023014721.

127410320449984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×127410320449984² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

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 63 ways as a sum of consecutive naturals, for example, 108804713719 + ... + 108804714889.

It is an arithmetic number, because the mean of its divisors is an integer number (704356897608).

Almost surely, 2^{127410320449984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127410320449984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157775945064192).

127410320449984 is an abundant number, since it is smaller than the sum of its proper divisors (188141569678400).

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

127410320449984 is a wasteful number, since it uses less digits than its factorization.

127410320449984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 58.

The spelling of 127410320449984 in words is "one hundred twenty-seven trillion, four hundred ten billion, three hundred twenty million, four hundred forty-nine thousand, nine hundred eighty-four".