12430007040 has 288 divisors, whose sum is σ = 43743038976. Its totient is φ = 2983034880.

The previous prime is 12430006993. The next prime is 12430007129. The reversal of 12430007040 is 4070003421.

It is a junction number, because it is equal to n+sod(n) for n = 12430006998 and 12430007016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4349292 + ... + 4352148.

It is an arithmetic number, because the mean of its divisors is an integer number (151885552).

Almost surely, 2^12430007040 is an apocalyptic number.

12430007040 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 12430007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21871519488).

12430007040 is an abundant number, since it is smaller than the sum of its proper divisors (31313031936).

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

12430007040 is a wasteful number, since it uses less digits than its factorization.

12430007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The spelling of 12430007040 in words is "twelve billion, four hundred thirty million, seven thousand, forty".