20865283498440 has 256 divisors, whose sum is σ = 71853851289600. Its totient is φ = 5380139750400.

The previous prime is 20865283498439. The next prime is 20865283498457. The reversal of 20865283498440 is 4489438256802.

20865283498440 is a `hidden beast` number, since 2 + 0 + 8 + 65 + 2 + 83 + 498 + 4 + 4 + 0 = 666.

It is a super-4 number, since 4×20865283498440⁴ (a number of 54 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40354350 + ... + 40868130.

It is an arithmetic number, because the mean of its divisors is an integer number (280679106600).

Almost surely, 2^{20865283498440} is an apocalyptic number.

20865283498440 is a gapful number since it is divisible by the number (20) 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 20865283498440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35926925644800).

20865283498440 is an abundant number, since it is smaller than the sum of its proper divisors (50988567791160).

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

20865283498440 is a wasteful number, since it uses less digits than its factorization.

20865283498440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515045 (or 515035 counting only the distinct ones).

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

The spelling of 20865283498440 in words is "twenty trillion, eight hundred sixty-five billion, two hundred eighty-three million, four hundred ninety-eight thousand, four hundred forty".