127841464080 has 560 divisors, whose sum is σ = 488403115200. Its totient is φ = 30848947200.

The previous prime is 127841464073. The next prime is 127841464129. The reversal of 127841464080 is 80464148721.

127841464080 is a `hidden beast` number, since 1 + 2 + 78 + 41 + 464 + 0 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 223890195 + ... + 223890765.

It is an arithmetic number, because the mean of its divisors is an integer number (872148420).

Almost surely, 2^127841464080 is an apocalyptic number.

127841464080 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 127841464080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244201557600).

127841464080 is an abundant number, since it is smaller than the sum of its proper divisors (360561651120).

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

127841464080 is a wasteful number, since it uses less digits than its factorization.

127841464080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 127841464080 in words is "one hundred twenty-seven billion, eight hundred forty-one million, four hundred sixty-four thousand, eighty".