4865249888640 has 1024 divisors, whose sum is σ = 18615453696000. Its totient is φ = 1211473428480.

The previous prime is 4865249888591. The next prime is 4865249888651. The reversal of 4865249888640 is 468889425684.

4865249888640 is a `hidden beast` number, since 4 + 8 + 6 + 52 + 498 + 8 + 86 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3307443105 + ... + 3307444575.

It is an arithmetic number, because the mean of its divisors is an integer number (18179154000).

Almost surely, 2^{4865249888640} is an apocalyptic number.

4865249888640 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 4865249888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9307726848000).

4865249888640 is an abundant number, since it is smaller than the sum of its proper divisors (13750203807360).

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

4865249888640 is a wasteful number, since it uses less digits than its factorization.

4865249888640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 849346560, while the sum is 72.

The spelling of 4865249888640 in words is "four trillion, eight hundred sixty-five billion, two hundred forty-nine million, eight hundred eighty-eight thousand, six hundred forty".