127930247424 has 648 divisors, whose sum is σ = 467844864480. Its totient is φ = 34375090176.

The previous prime is 127930247381. The next prime is 127930247437. The reversal of 127930247424 is 424742039721.

127930247424 is a `hidden beast` number, since 1 + 279 + 302 + 4 + 74 + 2 + 4 = 666.

It is a super-2 number, since 2×127930247424² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 127930247424.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 97880179 + ... + 97881485.

Almost surely, 2^127930247424 is an apocalyptic number.

127930247424 is a gapful number since it is divisible by the number (14) 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 127930247424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233922432240).

127930247424 is an abundant number, since it is smaller than the sum of its proper divisors (339914617056).

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

127930247424 is a wasteful number, since it uses less digits than its factorization.

127930247424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 127930247424 in words is "one hundred twenty-seven billion, nine hundred thirty million, two hundred forty-seven thousand, four hundred twenty-four".