861201210240 has 2048 divisors, whose sum is σ = 3908653056000. Its totient is φ = 174593802240.

The previous prime is 861201210197. The next prime is 861201210241. The reversal of 861201210240 is 42012102168.

861201210240 is a `hidden beast` number, since 8 + 6 + 1 + 201 + 210 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (861201210241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6195692091 + ... + 6195692229.

It is an arithmetic number, because the mean of its divisors is an integer number (1908522000).

Almost surely, 2^861201210240 is an apocalyptic number.

861201210240 is a gapful number since it is divisible by the number (80) 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 861201210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954326528000).

861201210240 is an abundant number, since it is smaller than the sum of its proper divisors (3047451845760).

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

861201210240 is a wasteful number, since it uses less digits than its factorization.

861201210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 861201210240 in words is "eight hundred sixty-one billion, two hundred one million, two hundred ten thousand, two hundred forty".