20331312906240 has 2720 divisors, whose sum is σ = 90931028436864. Its totient is φ = 4239938027520.

The previous prime is 20331312906193. The next prime is 20331312906241. The reversal of 20331312906240 is 4260921313302.

20331312906240 is a `hidden beast` number, since 2 + 0 + 3 + 3 + 1 + 3 + 1 + 29 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2720).

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 = 20331312906195 and 20331312906204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20331312906241) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 129498808242 + ... + 129498808398.

Almost surely, 2^{20331312906240} is an apocalyptic number.

20331312906240 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 20331312906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45465514218432).

20331312906240 is an abundant number, since it is smaller than the sum of its proper divisors (70599715530624).

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

20331312906240 is an equidigital number, since it uses as much as digits as its factorization.

20331312906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 20331312906240 in words is "twenty trillion, three hundred thirty-one billion, three hundred twelve million, nine hundred six thousand, two hundred forty".