127042363495344 has 320 divisors, whose sum is σ = 362872489674240. Its totient is φ = 37980638208000.

The previous prime is 127042363495273. The next prime is 127042363495361. The reversal of 127042363495344 is 443594363240721.

It is a happy number.

It is a super-2 number, since 2×127042363495344² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22861678614 + ... + 22861684170.

It is an arithmetic number, because the mean of its divisors is an integer number (1133976530232).

Almost surely, 2^{127042363495344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127042363495344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181436244837120).

127042363495344 is an abundant number, since it is smaller than the sum of its proper divisors (235830126178896).

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

127042363495344 is a wasteful number, since it uses less digits than its factorization.

127042363495344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7620 (or 7614 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 57.

The spelling of 127042363495344 in words is "one hundred twenty-seven trillion, forty-two billion, three hundred sixty-three million, four hundred ninety-five thousand, three hundred forty-four".