20335114400 has 144 divisors (see below), whose sum is σ = 53846787960. Its totient is φ = 7468646400.

The previous prime is 20335114399. The next prime is 20335114433. The reversal of 20335114400 is 441153302.

It can be written as a sum of positive squares in 12 ways, for example, as 26584336 + 20308530064 = 5156^2 + 142508^2 .

It is a super-2 number, since 2×20335114400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 539366 + ... + 575834.

Almost surely, 2^20335114400 is an apocalyptic number.

20335114400 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 20335114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26923393980).

20335114400 is an abundant number, since it is smaller than the sum of its proper divisors (33511673560).

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

20335114400 is a wasteful number, since it uses less digits than its factorization.

20335114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36547 (or 36534 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 20335114400 its reverse (441153302), we get a palindrome (20776267702).

The spelling of 20335114400 in words is "twenty billion, three hundred thirty-five million, one hundred fourteen thousand, four hundred".