434113234100 has 72 divisors (see below), whose sum is σ = 1159416292608. Its totient is φ = 137389680000.

The previous prime is 434113234039. The next prime is 434113234117. The reversal of 434113234100 is 1432311434.

It is a happy number.

It is a super-2 number, since 2×434113234100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 434113234100.

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, 23843276 + ... + 23861475.

It is an arithmetic number, because the mean of its divisors is an integer number (16103004064).

Almost surely, 2^434113234100 is an apocalyptic number.

It is an amenable number.

434113234100 is an abundant number, since it is smaller than the sum of its proper divisors (725303058508).

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

434113234100 is a wasteful number, since it uses less digits than its factorization.

434113234100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47704785 (or 47704778 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 434113234100 its reverse (1432311434), we get a palindrome (435545545534).

The spelling of 434113234100 in words is "four hundred thirty-four billion, one hundred thirteen million, two hundred thirty-four thousand, one hundred".