12518582440 has 256 divisors, whose sum is σ = 37675008000. Its totient is φ = 3631703040.

The previous prime is 12518582431. The next prime is 12518582449. The reversal of 12518582440 is 4428581521.

It is an interprime number because it is at equal distance from previous prime (12518582431) and next prime (12518582449).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 12518582393 and 12518582402.

It is not an unprimeable number, because it can be changed into a prime (12518582449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2141041 + ... + 2146879.

It is an arithmetic number, because the mean of its divisors is an integer number (147168000).

Almost surely, 2^12518582440 is an apocalyptic number.

12518582440 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 12518582440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18837504000).

12518582440 is an abundant number, since it is smaller than the sum of its proper divisors (25156425560).

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

12518582440 is a wasteful number, since it uses less digits than its factorization.

12518582440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5920 (or 5916 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 40.

The spelling of 12518582440 in words is "twelve billion, five hundred eighteen million, five hundred eighty-two thousand, four hundred forty".