127941275401632 has 3072 divisors, whose sum is σ = 513721958400000. Its totient is φ = 30613845749760.

The previous prime is 127941275401567. The next prime is 127941275401633. The reversal of 127941275401632 is 236104572149721.

127941275401632 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 41 + 27 + 540 + 1 + 6 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (127941275401633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 573727692273 + ... + 573727692495.

It is an arithmetic number, because the mean of its divisors is an integer number (167227200000).

Almost surely, 2^{127941275401632} is an apocalyptic number.

127941275401632 is a gapful number since it is divisible by the number (12) 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 127941275401632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256860979200000).

127941275401632 is an abundant number, since it is smaller than the sum of its proper divisors (385780682998368).

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

127941275401632 is a wasteful number, since it uses less digits than its factorization.

127941275401632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 127941275401632 in words is "one hundred twenty-seven trillion, nine hundred forty-one billion, two hundred seventy-five million, four hundred one thousand, six hundred thirty-two".