20301400340 has 192 divisors, whose sum is σ = 50975930880. Its totient is φ = 6738462720.

The previous prime is 20301400333. The next prime is 20301400349. The reversal of 20301400340 is 4300410302.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20301400349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29379395 + ... + 29380085.

It is an arithmetic number, because the mean of its divisors is an integer number (265499640).

Almost surely, 2^20301400340 is an apocalyptic number.

20301400340 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 20301400340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25487965440).

20301400340 is an abundant number, since it is smaller than the sum of its proper divisors (30674530540).

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

20301400340 is a wasteful number, since it uses less digits than its factorization.

20301400340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 20301400340 its reverse (4300410302), we get a palindrome (24601810642).

The spelling of 20301400340 in words is "twenty billion, three hundred one million, four hundred thousand, three hundred forty".