20300424144 has 640 divisors, whose sum is σ = 76248453120. Its totient is φ = 4478976000.

The previous prime is 20300424101. The next prime is 20300424169. The reversal of 20300424144 is 44142400302.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33777444 + ... + 33778044.

It is an arithmetic number, because the mean of its divisors is an integer number (119138208).

Almost surely, 2^20300424144 is an apocalyptic number.

20300424144 is a gapful number since it is divisible by the number (24) 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 20300424144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38124226560).

20300424144 is an abundant number, since it is smaller than the sum of its proper divisors (55948028976).

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

20300424144 is a wasteful number, since it uses less digits than its factorization.

20300424144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20300424144 its reverse (44142400302), we get a palindrome (64442824446).

It can be divided in two parts, 20300 and 424144, that added together give a palindrome (444444).

The spelling of 20300424144 in words is "twenty billion, three hundred million, four hundred twenty-four thousand, one hundred forty-four".