12541540440 has 256 divisors, whose sum is σ = 44320711680. Its totient is φ = 2798991360.

The previous prime is 12541540421. The next prime is 12541540469. The reversal of 12541540440 is 4404514521.

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 = 12541540398 and 12541540407.

It is a congruent number.

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, 8630754 + ... + 8632206.

It is an arithmetic number, because the mean of its divisors is an integer number (173127780).

Almost surely, 2^12541540440 is an apocalyptic number.

12541540440 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 12541540440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22160355840).

12541540440 is an abundant number, since it is smaller than the sum of its proper divisors (31779171240).

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

12541540440 is a wasteful number, since it uses less digits than its factorization.

12541540440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 12541540440 in words is "twelve billion, five hundred forty-one million, five hundred forty thousand, four hundred forty".