31410413034 has 256 divisors, whose sum is σ = 87502270464. Its totient is φ = 7253452800.

The previous prime is 31410413033. The next prime is 31410413093. The reversal of 31410413034 is 43031401413.

It is a super-2 number, since 2×31410413034² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31410412995 and 31410413013.

It is not an unprimeable number, because it can be changed into a prime (31410413033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23777094 + ... + 23778414.

It is an arithmetic number, because the mean of its divisors is an integer number (341805744).

Almost surely, 2^31410413034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31410413034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43751135232).

31410413034 is an abundant number, since it is smaller than the sum of its proper divisors (56091857430).

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

31410413034 is a wasteful number, since it uses less digits than its factorization.

31410413034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501.

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

Adding to 31410413034 its reverse (43031401413), we get a palindrome (74441814447).

It can be divided in two parts, 31410 and 413034, that added together give a palindrome (444444).

The spelling of 31410413034 in words is "thirty-one billion, four hundred ten million, four hundred thirteen thousand, thirty-four".