32314042400 has 144 divisors (see below), whose sum is σ = 80401104000. Its totient is φ = 12678681600.

The previous prime is 32314042381. The next prime is 32314042403. The reversal of 32314042400 is 424041323.

It is not an unprimeable number, because it can be changed into a prime (32314042403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24350537 + ... + 24351863.

It is an arithmetic number, because the mean of its divisors is an integer number (558341000).

Almost surely, 2^32314042400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32314042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40200552000).

32314042400 is an abundant number, since it is smaller than the sum of its proper divisors (48087061600).

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

32314042400 is a wasteful number, since it uses less digits than its factorization.

32314042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 32314042400 its reverse (424041323), we get a palindrome (32738083723).

The spelling of 32314042400 in words is "thirty-two billion, three hundred fourteen million, forty-two thousand, four hundred".