855754246319940 has 432 divisors, whose sum is σ = 2995180602785280. Its totient is φ = 197360679859200.

The previous prime is 855754246319923. The next prime is 855754246319957. The reversal of 855754246319940 is 49913642457558.

855754246319940 is a `hidden beast` number, since 8 + 5 + 5 + 7 + 5 + 424 + 6 + 3 + 199 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (855754246319923) and next prime (855754246319957).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29094552 + ... + 50576688.

It is a 2-persistent number, because it is pandigital, and so is 2⋅855754246319940 = 1711508492639880, but 3⋅855754246319940 = 2567262738959820 is not.

Almost surely, 2^{855754246319940} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 855754246319940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497590301392640).

855754246319940 is an abundant number, since it is smaller than the sum of its proper divisors (2139426356465340).

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

855754246319940 is a wasteful number, since it uses less digits than its factorization.

855754246319940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21482264 (or 21482248 counting only the distinct ones).

The product of its (nonzero) digits is 1306368000, while the sum is 72.

The spelling of 855754246319940 in words is "eight hundred fifty-five trillion, seven hundred fifty-four billion, two hundred forty-six million, three hundred nineteen thousand, nine hundred forty".