4280127097968 has 180 divisors, whose sum is σ = 12221948422320. Its totient is φ = 1398269343744.

The previous prime is 4280127097951. The next prime is 4280127097979. The reversal of 4280127097968 is 8697907210824.

4280127097968 is a `hidden beast` number, since 428 + 0 + 12 + 70 + 9 + 79 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 408131221 + ... + 408141707.

Almost surely, 2^{4280127097968} is an apocalyptic number.

4280127097968 is a gapful number since it is divisible by the number (48) 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 4280127097968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6110974211160).

4280127097968 is an abundant number, since it is smaller than the sum of its proper divisors (7941821324352).

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

4280127097968 is a wasteful number, since it uses less digits than its factorization.

4280127097968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11616 (or 11554 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 4280127097968 in words is "four trillion, two hundred eighty billion, one hundred twenty-seven million, ninety-seven thousand, nine hundred sixty-eight".