862440284160 has 1344 divisors, whose sum is σ = 3764678141952. Its totient is φ = 177768235008.

The previous prime is 862440284159. The next prime is 862440284239. The reversal of 862440284160 is 61482044268.

862440284160 is a `hidden beast` number, since 8 + 6 + 2 + 4 + 402 + 84 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-4 number, since 4×862440284160⁴ (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1576673007 + ... + 1576673553.

It is an arithmetic number, because the mean of its divisors is an integer number (2801099808).

Almost surely, 2^862440284160 is an apocalyptic number.

862440284160 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 862440284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882339070976).

862440284160 is an abundant number, since it is smaller than the sum of its proper divisors (2902237857792).

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

862440284160 is a wasteful number, since it uses less digits than its factorization.

862440284160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 862440284160 in words is "eight hundred sixty-two billion, four hundred forty million, two hundred eighty-four thousand, one hundred sixty".