12481435516040 has 64 divisors (see below), whose sum is σ = 28152594178560. Its totient is φ = 4980245034240.

The previous prime is 12481435516027. The next prime is 12481435516063. The reversal of 12481435516040 is 4061553418421.

12481435516040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×12481435516040³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12481435515982 and 12481435516000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219009389 + ... + 219066371.

It is an arithmetic number, because the mean of its divisors is an integer number (439884284040).

Almost surely, 2^{12481435516040} is an apocalyptic number.

12481435516040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12481435516040 is an abundant number, since it is smaller than the sum of its proper divisors (15671158662520).

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

12481435516040 is a wasteful number, since it uses less digits than its factorization.

12481435516040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70422 (or 70418 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 44.

The spelling of 12481435516040 in words is "twelve trillion, four hundred eighty-one billion, four hundred thirty-five million, five hundred sixteen thousand, forty".