20712233334240 has 1536 divisors, whose sum is σ = 91142682624000. Its totient is φ = 4283357331456.

The previous prime is 20712233334217. The next prime is 20712233334251. The reversal of 20712233334240 is 4243333221702.

20712233334240 is a `hidden beast` number, since 2 + 0 + 7 + 1 + 223 + 3 + 3 + 3 + 424 + 0 = 666.

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 = 20712233334195 and 20712233334204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3563085574 + ... + 3563091386.

It is an arithmetic number, because the mean of its divisors is an integer number (59337684000).

Almost surely, 2^{20712233334240} is an apocalyptic number.

20712233334240 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 20712233334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45571341312000).

20712233334240 is an abundant number, since it is smaller than the sum of its proper divisors (70430449289760).

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

20712233334240 is a wasteful number, since it uses less digits than its factorization.

20712233334240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6129 (or 6115 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

Adding to 20712233334240 its reverse (4243333221702), we get a palindrome (24955566555942).

The spelling of 20712233334240 in words is "twenty trillion, seven hundred twelve billion, two hundred thirty-three million, three hundred thirty-four thousand, two hundred forty".