10275242340 has 192 divisors, whose sum is σ = 33498759168. Its totient is φ = 2325657600.

The previous prime is 10275242339. The next prime is 10275242371. The reversal of 10275242340 is 4324257201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10275242298 and 10275242307.

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, 1421335 + ... + 1428545.

It is an arithmetic number, because the mean of its divisors is an integer number (174472704).

Almost surely, 2^10275242340 is an apocalyptic number.

10275242340 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 10275242340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16749379584).

10275242340 is an abundant number, since it is smaller than the sum of its proper divisors (23223516828).

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

10275242340 is a wasteful number, since it uses less digits than its factorization.

10275242340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7378 (or 7376 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

Adding to 10275242340 its reverse (4324257201), we get a palindrome (14599499541).

The spelling of 10275242340 in words is "ten billion, two hundred seventy-five million, two hundred forty-two thousand, three hundred forty".