858460861440 has 2640 divisors, whose sum is σ = 4049955896448. Its totient is φ = 169221685248.

The previous prime is 858460861421. The next prime is 858460861477. The reversal of 858460861440 is 44168064858.

It is a happy number.

858460861440 is a `hidden beast` number, since 8 + 5 + 84 + 60 + 8 + 61 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 19964206059 + ... + 19964206101.

Almost surely, 2^858460861440 is an apocalyptic number.

858460861440 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 858460861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024977948224).

858460861440 is an abundant number, since it is smaller than the sum of its proper divisors (3191495035008).

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

858460861440 is a wasteful number, since it uses less digits than its factorization.

858460861440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 858460861440 in words is "eight hundred fifty-eight billion, four hundred sixty million, eight hundred sixty-one thousand, four hundred forty".