127960401240 has 960 divisors, whose sum is σ = 536310720000. Its totient is φ = 27201194496.

The previous prime is 127960401209. The next prime is 127960401253. The reversal of 127960401240 is 42104069721.

It is a happy number.

127960401240 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 6 + 0 + 401 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 127960401195 and 127960401204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 177969601 + ... + 177970319.

It is an arithmetic number, because the mean of its divisors is an integer number (558657000).

Almost surely, 2^127960401240 is an apocalyptic number.

127960401240 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 127960401240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268155360000).

127960401240 is an abundant number, since it is smaller than the sum of its proper divisors (408350318760).

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

127960401240 is a wasteful number, since it uses less digits than its factorization.

127960401240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 127960401240 in words is "one hundred twenty-seven billion, nine hundred sixty million, four hundred one thousand, two hundred forty".