223431040232400 has 2880 divisors, whose sum is σ = 1007478917222400. Its totient is φ = 41588951040000.

The previous prime is 223431040232399. The next prime is 223431040232467. The reversal of 223431040232400 is 4232040134322.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 39191549550 + ... + 39191555250.

It is an arithmetic number, because the mean of its divisors is an integer number (349819068480).

Almost surely, 2^{223431040232400} is an apocalyptic number.

223431040232400 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 223431040232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503739458611200).

223431040232400 is an abundant number, since it is smaller than the sum of its proper divisors (784047876990000).

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

223431040232400 is a wasteful number, since it uses less digits than its factorization.

223431040232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5898 (or 5880 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 223431040232400 its reverse (4232040134322), we get a palindrome (227663080366722).

The spelling of 223431040232400 in words is "two hundred twenty-three trillion, four hundred thirty-one billion, forty million, two hundred thirty-two thousand, four hundred".