20442233400 has 192 divisors, whose sum is σ = 65910067200. Its totient is φ = 5234880000.

The previous prime is 20442233393. The next prime is 20442233527. The reversal of 20442233400 is 433224402.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3320325 + ... + 3326475.

It is an arithmetic number, because the mean of its divisors is an integer number (343281600).

Almost surely, 2^20442233400 is an apocalyptic number.

20442233400 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 20442233400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32955033600).

20442233400 is an abundant number, since it is smaller than the sum of its proper divisors (45467833800).

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

20442233400 is a wasteful number, since it uses less digits than its factorization.

20442233400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6390 (or 6381 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 20442233400 its reverse (433224402), we get a palindrome (20875457802).

The spelling of 20442233400 in words is "twenty billion, four hundred forty-two million, two hundred thirty-three thousand, four hundred".