20440639065600 has 2160 divisors, whose sum is σ = 82887223346928. Its totient is φ = 4779131535360.

The previous prime is 20440639065589. The next prime is 20440639065601. The reversal of 20440639065600 is 656093604402.

20440639065600 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 0 + 6 + 39 + 0 + 6 + 5 + 600 = 666.

It is a super-2 number, since 2×20440639065600² (a number of 27 digits) contains 22 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 not an unprimeable number, because it can be changed into a prime (20440639065601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 180890611144 + ... + 180890611256.

Almost surely, 2^{20440639065600} is an apocalyptic number.

20440639065600 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 20440639065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41443611673464).

20440639065600 is an abundant number, since it is smaller than the sum of its proper divisors (62446584281328).

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

20440639065600 is a wasteful number, since it uses less digits than its factorization.

20440639065600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 20440639065600 in words is "twenty trillion, four hundred forty billion, six hundred thirty-nine million, sixty-five thousand, six hundred".