127344016384640 has 256 divisors, whose sum is σ = 340667878809600. Its totient is φ = 45121980026880.

The previous prime is 127344016384511. The next prime is 127344016384691. The reversal of 127344016384640 is 46483610443721.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74262041 + ... + 75957479.

It is an arithmetic number, because the mean of its divisors is an integer number (1330733901600).

Almost surely, 2^{127344016384640} is an apocalyptic number.

127344016384640 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 127344016384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170333939404800).

127344016384640 is an abundant number, since it is smaller than the sum of its proper divisors (213323862424960).

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

127344016384640 is a wasteful number, since it uses less digits than its factorization.

127344016384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695743 (or 1695731 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 53.

The spelling of 127344016384640 in words is "one hundred twenty-seven trillion, three hundred forty-four billion, sixteen million, three hundred eighty-four thousand, six hundred forty".