20311444400 has 120 divisors (see below), whose sum is σ = 53544229200. Its totient is φ = 7358008320.

The previous prime is 20311444393. The next prime is 20311444457. The reversal of 20311444400 is 444411302.

It is a happy number.

It is a super-2 number, since 2×20311444400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238751 + ... + 312449.

It is an arithmetic number, because the mean of its divisors is an integer number (446201910).

Almost surely, 2^20311444400 is an apocalyptic number.

20311444400 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 20311444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26772114600).

20311444400 is an abundant number, since it is smaller than the sum of its proper divisors (33232784800).

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

20311444400 is a wasteful number, since it uses less digits than its factorization.

20311444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73783 (or 73772 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 20311444400 its reverse (444411302), we get a palindrome (20755855702).

The spelling of 20311444400 in words is "twenty billion, three hundred eleven million, four hundred forty-four thousand, four hundred".