127974310231040 has 2112 divisors, whose sum is σ = 420714112896000. Its totient is φ = 37011391119360.

The previous prime is 127974310230967. The next prime is 127974310231051. The reversal of 127974310231040 is 40132013479721.

It is a super-2 number, since 2×127974310231040² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 127974310230982 and 127974310231000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 416854430567 + ... + 416854430873.

It is an arithmetic number, because the mean of its divisors is an integer number (199201758000).

Almost surely, 2^{127974310231040} is an apocalyptic number.

127974310231040 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 127974310231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210357056448000).

127974310231040 is an abundant number, since it is smaller than the sum of its proper divisors (292739802664960).

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

127974310231040 is a wasteful number, since it uses less digits than its factorization.

127974310231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The spelling of 127974310231040 in words is "one hundred twenty-seven trillion, nine hundred seventy-four billion, three hundred ten million, two hundred thirty-one thousand, forty".