20352266333440 has 288 divisors, whose sum is σ = 51689451663360. Its totient is φ = 7664266444800.

The previous prime is 20352266333419. The next prime is 20352266333447. The reversal of 20352266333440 is 4433366225302.

It is a super-2 number, since 2×20352266333440² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20352266333447) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5130390337 + ... + 5130394303.

It is an arithmetic number, because the mean of its divisors is an integer number (179477262720).

Almost surely, 2^{20352266333440} is an apocalyptic number.

20352266333440 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 20352266333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25844725831680).

20352266333440 is an abundant number, since it is smaller than the sum of its proper divisors (31337185329920).

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

20352266333440 is a wasteful number, since it uses less digits than its factorization.

20352266333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7429 (or 7415 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 43.

The spelling of 20352266333440 in words is "twenty trillion, three hundred fifty-two billion, two hundred sixty-six million, three hundred thirty-three thousand, four hundred forty".