20362743217440 has 384 divisors, whose sum is σ = 76760493868800. Its totient is φ = 5011804938240.

The previous prime is 20362743217433. The next prime is 20362743217489. The reversal of 20362743217440 is 4471234726302.

20362743217440 is a `hidden beast` number, since 2 + 0 + 3 + 6 + 2 + 7 + 432 + 174 + 40 = 666.

20362743217440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×20362743217440² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 739669596 + ... + 739697124.

It is an arithmetic number, because the mean of its divisors is an integer number (199897119450).

Almost surely, 2^{20362743217440} is an apocalyptic number.

20362743217440 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 20362743217440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38380246934400).

20362743217440 is an abundant number, since it is smaller than the sum of its proper divisors (56397750651360).

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

20362743217440 is a wasteful number, since it uses less digits than its factorization.

20362743217440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40737 (or 40723 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 20362743217440 in words is "twenty trillion, three hundred sixty-two billion, seven hundred forty-three million, two hundred seventeen thousand, four hundred forty".