20307665442240 has 1344 divisors, whose sum is σ = 84595021056000. Its totient is φ = 4584694763520.

The previous prime is 20307665442199. The next prime is 20307665442263. The reversal of 20307665442240 is 4224456670302.

20307665442240 is a `hidden beast` number, since 2 + 0 + 3 + 0 + 7 + 66 + 544 + 2 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 958847971 + ... + 958869149.

It is an arithmetic number, because the mean of its divisors is an integer number (62942724000).

Almost surely, 2^{20307665442240} is an apocalyptic number.

20307665442240 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 20307665442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42297510528000).

20307665442240 is an abundant number, since it is smaller than the sum of its proper divisors (64287355613760).

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

20307665442240 is a wasteful number, since it uses less digits than its factorization.

20307665442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21300 (or 21278 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 20307665442240 in words is "twenty trillion, three hundred seven billion, six hundred sixty-five million, four hundred forty-two thousand, two hundred forty".