12430414080 has 972 divisors, whose sum is σ = 53666963532. Its totient is φ = 2647572480.

The previous prime is 12430414033. The next prime is 12430414081. The reversal of 12430414080 is 8041403421.

12430414080 is a `hidden beast` number, since 1 + 243 + 0 + 414 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1997017344 + 10433396736 = 44688^2 + 102144^2 .

It is not an unprimeable number, because it can be changed into a prime (12430414081) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 203777250 + ... + 203777310.

Almost surely, 2^12430414080 is an apocalyptic number.

12430414080 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 12430414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26833481766).

12430414080 is an abundant number, since it is smaller than the sum of its proper divisors (41236549452).

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

12430414080 is a wasteful number, since it uses less digits than its factorization.

12430414080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

It can be divided in two parts, 124304 and 14080, that added together give a square (138384 = 372²).

The spelling of 12430414080 in words is "twelve billion, four hundred thirty million, four hundred fourteen thousand, eighty".