31430413014 has 256 divisors, whose sum is σ = 88017076224. Its totient is φ = 7219238400.

The previous prime is 31430412989. The next prime is 31430413037. The reversal of 31430413014 is 41031403413.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14887819 + ... + 14889929.

It is an arithmetic number, because the mean of its divisors is an integer number (343816704).

Almost surely, 2^31430413014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31430413014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44008538112).

31430413014 is an abundant number, since it is smaller than the sum of its proper divisors (56586663210).

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

31430413014 is a wasteful number, since it uses less digits than its factorization.

31430413014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31430413014 its reverse (41031403413), we get a palindrome (72461816427).

It can be divided in two parts, 31430 and 413014, that added together give a palindrome (444444).

The spelling of 31430413014 in words is "thirty-one billion, four hundred thirty million, four hundred thirteen thousand, fourteen".