10240127280 has 120 divisors (see below), whose sum is σ = 34438452048. Its totient is φ = 2726834688.

The previous prime is 10240127257. The next prime is 10240127281. The reversal of 10240127280 is 8272104201.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (10240127281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 518059 + ... + 537461.

Almost surely, 2^10240127280 is an apocalyptic number.

10240127280 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 10240127280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17219226024).

10240127280 is an abundant number, since it is smaller than the sum of its proper divisors (24198324768).

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

10240127280 is a wasteful number, since it uses less digits than its factorization.

10240127280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20155 (or 20146 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 10240127280 in words is "ten billion, two hundred forty million, one hundred twenty-seven thousand, two hundred eighty".