42466600000000 has 720 divisors, whose sum is σ = 117485096097600. Its totient is φ = 15206400000000.

The previous prime is 42466599999961. The next prime is 42466600000087. The reversal of 42466600000000 is 666424.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 213399999901 + ... + 213400000099.

It is an arithmetic number, because the mean of its divisors is an integer number (163173744580).

Almost surely, 2^{42466600000000} is an apocalyptic number.

42466600000000 is a gapful number since it is divisible by the number (40) 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 42466600000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58742548048800).

42466600000000 is an abundant number, since it is smaller than the sum of its proper divisors (75018496097600).

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

42466600000000 is an frugal number, since it uses more digits than its factorization.

42466600000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 42466600000000 its reverse (666424), we get a palindrome (42466600666424).

The spelling of 42466600000000 in words is "forty-two trillion, four hundred sixty-six billion, six hundred million", and thus it is an aban number.