31223424430400 has 168 divisors, whose sum is σ = 77704183488960. Its totient is φ = 12347164938240.

The previous prime is 31223424430397. The next prime is 31223424430411. The reversal of 31223424430400 is 403442432213.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 1287711077 + ... + 1287735323.

It is an arithmetic number, because the mean of its divisors is an integer number (462524901720).

Almost surely, 2^{31223424430400} 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 31223424430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38852091744480).

31223424430400 is an abundant number, since it is smaller than the sum of its proper divisors (46480759058560).

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

31223424430400 is a wasteful number, since it uses less digits than its factorization.

31223424430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33401 (or 33386 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 31223424430400 its reverse (403442432213), we get a palindrome (31626866862613).

The spelling of 31223424430400 in words is "thirty-one trillion, two hundred twenty-three billion, four hundred twenty-four million, four hundred thirty thousand, four hundred".