4862852987040 has 288 divisors, whose sum is σ = 17401880779920. Its totient is φ = 1234892832768.

The previous prime is 4862852987021. The next prime is 4862852987077. The reversal of 4862852987040 is 407892582684.

4862852987040 is a `hidden beast` number, since 4 + 8 + 6 + 28 + 529 + 87 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4057533406224 + 805319580816 = 2014332^2 + 897396^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2250894 + ... + 3846066.

Almost surely, 2^{4862852987040} is an apocalyptic number.

4862852987040 is a gapful number since it is divisible by the number (40) 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 4862852987040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8700940389960).

4862852987040 is an abundant number, since it is smaller than the sum of its proper divisors (12539027792880).

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

4862852987040 is a wasteful number, since it uses less digits than its factorization.

4862852987040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595296 (or 1595285 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 4862852987040 in words is "four trillion, eight hundred sixty-two billion, eight hundred fifty-two million, nine hundred eighty-seven thousand, forty".