127487712240 has 320 divisors, whose sum is σ = 502374988800. Its totient is φ = 29109943296.

The previous prime is 127487712227. The next prime is 127487712269. The reversal of 127487712240 is 42217784721.

127487712240 is a `hidden beast` number, since 1 + 2 + 7 + 487 + 7 + 122 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 16764279 + ... + 16771881.

It is an arithmetic number, because the mean of its divisors is an integer number (1569921840).

Almost surely, 2^127487712240 is an apocalyptic number.

127487712240 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 127487712240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251187494400).

127487712240 is an abundant number, since it is smaller than the sum of its proper divisors (374887276560).

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

127487712240 is a wasteful number, since it uses less digits than its factorization.

127487712240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8741 (or 8729 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The spelling of 127487712240 in words is "one hundred twenty-seven billion, four hundred eighty-seven million, seven hundred twelve thousand, two hundred forty".