20433910506240 has 2592 divisors, whose sum is σ = 86826727636992. Its totient is φ = 4077261619200.

The previous prime is 20433910506223. The next prime is 20433910506257. The reversal of 20433910506240 is 4260501933402.

It is an interprime number because it is at equal distance from previous prime (20433910506223) and next prime (20433910506257).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 106983824545 + ... + 106983824735.

Almost surely, 2^{20433910506240} is an apocalyptic number.

20433910506240 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 20433910506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43413363818496).

20433910506240 is an abundant number, since it is smaller than the sum of its proper divisors (66392817130752).

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

20433910506240 is a wasteful number, since it uses less digits than its factorization.

20433910506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 20433910506240 in words is "twenty trillion, four hundred thirty-three billion, nine hundred ten million, five hundred six thousand, two hundred forty".