434441403100 has 72 divisors (see below), whose sum is σ = 952810127360. Its totient is φ = 171923186880.

The previous prime is 434441403043. The next prime is 434441403107. The reversal of 434441403100 is 1304144434.

It is a happy number.

It is a super-2 number, since 2×434441403100² (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 (434441403107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10929061 + ... + 10968739.

Almost surely, 2^434441403100 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 434441403100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476405063680).

434441403100 is an abundant number, since it is smaller than the sum of its proper divisors (518368724260).

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

434441403100 is a wasteful number, since it uses less digits than its factorization.

434441403100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40859 (or 40852 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 434441403100 its reverse (1304144434), we get a palindrome (435745547534).

The spelling of 434441403100 in words is "four hundred thirty-four billion, four hundred forty-one million, four hundred three thousand, one hundred".