12430443312540 has 288 divisors, whose sum is σ = 42475588227072. Its totient is φ = 2915186688000.

The previous prime is 12430443312523. The next prime is 12430443312563. The reversal of 12430443312540 is 4521334403421.

12430443312540 is a `hidden beast` number, since 1 + 2 + 4 + 30 + 44 + 33 + 12 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12430443312495 and 12430443312504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178151260 + ... + 178221020.

It is an arithmetic number, because the mean of its divisors is an integer number (147484681344).

Almost surely, 2^{12430443312540} is an apocalyptic number.

12430443312540 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 12430443312540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21237794113536).

12430443312540 is an abundant number, since it is smaller than the sum of its proper divisors (30045144914532).

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

12430443312540 is a wasteful number, since it uses less digits than its factorization.

12430443312540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72721 (or 72716 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 12430443312540 its reverse (4521334403421), we get a palindrome (16951777715961).

The spelling of 12430443312540 in words is "twelve trillion, four hundred thirty billion, four hundred forty-three million, three hundred twelve thousand, five hundred forty".