20301343440 has 320 divisors, whose sum is σ = 76211312640. Its totient is φ = 4367001600.

The previous prime is 20301343427. The next prime is 20301343451. The reversal of 20301343440 is 4434310302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20301343440.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5009415 + ... + 5013465.

It is an arithmetic number, because the mean of its divisors is an integer number (238160352).

Almost surely, 2^20301343440 is an apocalyptic number.

20301343440 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 20301343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38105656320).

20301343440 is an abundant number, since it is smaller than the sum of its proper divisors (55909969200).

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

20301343440 is a wasteful number, since it uses less digits than its factorization.

20301343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4250 (or 4244 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 20301343440 its reverse (4434310302), we get a palindrome (24735653742).

The spelling of 20301343440 in words is "twenty billion, three hundred one million, three hundred forty-three thousand, four hundred forty".