20218280322240 has 7168 divisors, whose sum is σ = 107492474880000. Its totient is φ = 3555411148800.

The previous prime is 20218280322239. The next prime is 20218280322241. The reversal of 20218280322240 is 4222308281202.

20218280322240 is a `hidden beast` number, since 2 + 0 + 2 + 18 + 2 + 80 + 322 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (20218280322239) and next prime (20218280322241).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20218280322195 and 20218280322204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20218280322241) by changing a digit.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 652202591025 + ... + 652202591055.

It is an arithmetic number, because the mean of its divisors is an integer number (14996160000).

Almost surely, 2^{20218280322240} is an apocalyptic number.

20218280322240 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 20218280322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53746237440000).

20218280322240 is an abundant number, since it is smaller than the sum of its proper divisors (87274194557760).

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

20218280322240 is a wasteful number, since it uses less digits than its factorization.

20218280322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 20218280322240 in words is "twenty trillion, two hundred eighteen billion, two hundred eighty million, three hundred twenty-two thousand, two hundred forty".