127286730240 has 320 divisors, whose sum is σ = 431805059136. Its totient is φ = 31876186112.

The previous prime is 127286730239. The next prime is 127286730251. The reversal of 127286730240 is 42037682721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 127286730192 and 127286730201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85254934 + ... + 85256426.

Almost surely, 2^127286730240 is an apocalyptic number.

127286730240 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 127286730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215902529568).

127286730240 is an abundant number, since it is smaller than the sum of its proper divisors (304518328896).

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

127286730240 is a wasteful number, since it uses less digits than its factorization.

127286730240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 127286730240 in words is "one hundred twenty-seven billion, two hundred eighty-six million, seven hundred thirty thousand, two hundred forty".