12417936960 has 672 divisors, whose sum is σ = 49361945472. Its totient is φ = 2607022080.

The previous prime is 12417936953. The next prime is 12417937001. The reversal of 12417936960 is 6963971421.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 39673764 + ... + 39674076.

It is an arithmetic number, because the mean of its divisors is an integer number (73455276).

Almost surely, 2^12417936960 is an apocalyptic number.

12417936960 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 12417936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24680972736).

12417936960 is an abundant number, since it is smaller than the sum of its proper divisors (36944008512).

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

12417936960 is a wasteful number, since it uses less digits than its factorization.

12417936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 12417936960 in words is "twelve billion, four hundred seventeen million, nine hundred thirty-six thousand, nine hundred sixty".