12430377960 has 256 divisors, whose sum is σ = 50069698560. Its totient is φ = 2384225280.

The previous prime is 12430377937. The next prime is 12430377997. The reversal of 12430377960 is 6977303421.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 68379 + ... + 171861.

It is an arithmetic number, because the mean of its divisors is an integer number (195584760).

Almost surely, 2^12430377960 is an apocalyptic number.

12430377960 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 12430377960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25034849280).

12430377960 is an abundant number, since it is smaller than the sum of its proper divisors (37639320600).

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

12430377960 is a wasteful number, since it uses less digits than its factorization.

12430377960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103528 (or 103524 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The spelling of 12430377960 in words is "twelve billion, four hundred thirty million, three hundred seventy-seven thousand, nine hundred sixty".