31430242004320 has 192 divisors, whose sum is σ = 78929777396736. Its totient is φ = 11786270146560.

The previous prime is 31430242004299. The next prime is 31430242004327. The reversal of 31430242004320 is 2340024203413.

It is a super-2 number, since 2×31430242004320² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31430242004327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1252338012 + ... + 1252363108.

It is an arithmetic number, because the mean of its divisors is an integer number (411092590608).

Almost surely, 2^{31430242004320} 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 31430242004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39464888698368).

31430242004320 is an abundant number, since it is smaller than the sum of its proper divisors (47499535392416).

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

31430242004320 is a wasteful number, since it uses less digits than its factorization.

31430242004320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26913 (or 26905 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 31430242004320 its reverse (2340024203413), we get a palindrome (33770266207733).

The spelling of 31430242004320 in words is "thirty-one trillion, four hundred thirty billion, two hundred forty-two million, four thousand, three hundred twenty".