434113121310 has 128 divisors (see below), whose sum is σ = 1178339581440. Its totient is φ = 101435443200.

The previous prime is 434113121287. The next prime is 434113121311. The reversal of 434113121310 is 13121311434.

It is a happy number.

It is a super-2 number, since 2×434113121310² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434113121311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 929706 + ... + 1316274.

It is an arithmetic number, because the mean of its divisors is an integer number (9205777980).

Almost surely, 2^434113121310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434113121310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589169790720).

434113121310 is an abundant number, since it is smaller than the sum of its proper divisors (744226460130).

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

434113121310 is a wasteful number, since it uses less digits than its factorization.

434113121310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386714.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 434113121310 its reverse (13121311434), we get a palindrome (447234432744).

The spelling of 434113121310 in words is "four hundred thirty-four billion, one hundred thirteen million, one hundred twenty-one thousand, three hundred ten".