20241431400 has 192 divisors, whose sum is σ = 65997918720. Its totient is φ = 5124787200.

The previous prime is 20241431383. The next prime is 20241431401. The reversal of 20241431400 is 413414202.

It is not an unprimeable number, because it can be changed into a prime (20241431401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 975534 + ... + 996066.

It is an arithmetic number, because the mean of its divisors is an integer number (343739160).

Almost surely, 2^20241431400 is an apocalyptic number.

20241431400 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 20241431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32998959360).

20241431400 is an abundant number, since it is smaller than the sum of its proper divisors (45756487320).

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

20241431400 is a wasteful number, since it uses less digits than its factorization.

20241431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20636 (or 20627 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 20241431400 its reverse (413414202), we get a palindrome (20654845602).

The spelling of 20241431400 in words is "twenty billion, two hundred forty-one million, four hundred thirty-one thousand, four hundred".