20311140400 has 240 divisors, whose sum is σ = 51181599168. Its totient is φ = 7741440000.

The previous prime is 20311140373. The next prime is 20311140413. The reversal of 20311140400 is 404111302.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201100350 + ... + 201100450.

Almost surely, 2^20311140400 is an apocalyptic number.

20311140400 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 20311140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25590799584).

20311140400 is an abundant number, since it is smaller than the sum of its proper divisors (30870458768).

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

20311140400 is a wasteful number, since it uses less digits than its factorization.

20311140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20311140400 its reverse (404111302), we get a palindrome (20715251702).

The spelling of 20311140400 in words is "twenty billion, three hundred eleven million, one hundred forty thousand, four hundred".