20288317440 has 192 divisors, whose sum is σ = 65173006080. Its totient is φ = 5388042240.

The previous prime is 20288317349. The next prime is 20288317459. The reversal of 20288317440 is 4471388202.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8323902 + ... + 8326338.

It is an arithmetic number, because the mean of its divisors is an integer number (339442740).

Almost surely, 2^20288317440 is an apocalyptic number.

20288317440 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 20288317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32586503040).

20288317440 is an abundant number, since it is smaller than the sum of its proper divisors (44884688640).

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

20288317440 is a wasteful number, since it uses less digits than its factorization.

20288317440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 20288317440 in words is "twenty billion, two hundred eighty-eight million, three hundred seventeen thousand, four hundred forty".