856194440048640 has 5616 divisors, whose sum is σ = 3967783516569600. Its totient is φ = 169957431705600.

The previous prime is 856194440048599. The next prime is 856194440048687. The reversal of 856194440048640 is 46840044491658.

856194440048640 is a `hidden beast` number, since 8 + 5 + 6 + 1 + 94 + 440 + 0 + 48 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 4302484623261 + ... + 4302484623459.

Almost surely, 2^{856194440048640} is an apocalyptic number.

856194440048640 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 856194440048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983891758284800).

856194440048640 is an abundant number, since it is smaller than the sum of its proper divisors (3111589076520960).

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

856194440048640 is a wasteful number, since it uses less digits than its factorization.

856194440048640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 856194440048640 in words is "eight hundred fifty-six trillion, one hundred ninety-four billion, four hundred forty million, forty-eight thousand, six hundred forty".