240206112466672 has 320 divisors, whose sum is σ = 525023516344320. Its totient is φ = 105542767411200.

The previous prime is 240206112466603. The next prime is 240206112466709. The reversal of 240206112466672 is 276664211602042.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74575010022 + ... + 74575013242.

It is an arithmetic number, because the mean of its divisors is an integer number (1640698488576).

Almost surely, 2^{240206112466672} is an apocalyptic number.

240206112466672 is a gapful number since it is divisible by the number (22) 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 240206112466672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262511758172160).

240206112466672 is an abundant number, since it is smaller than the sum of its proper divisors (284817403877648).

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

240206112466672 is a wasteful number, since it uses less digits than its factorization.

240206112466672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 49.

The spelling of 240206112466672 in words is "two hundred forty trillion, two hundred six billion, one hundred twelve million, four hundred sixty-six thousand, six hundred seventy-two".