434141431300 has 144 divisors (see below), whose sum is σ = 979041337344. Its totient is φ = 166924800000.

The previous prime is 434141431271. The next prime is 434141431343. The reversal of 434141431300 is 3134141434.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377185725 + ... + 377186875.

It is an arithmetic number, because the mean of its divisors is an integer number (6798898176).

Almost surely, 2^434141431300 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 434141431300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489520668672).

434141431300 is an abundant number, since it is smaller than the sum of its proper divisors (544899906044).

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

434141431300 is a wasteful number, since it uses less digits than its factorization.

434141431300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 434141431300 its reverse (3134141434), we get a palindrome (437275572734).

The spelling of 434141431300 in words is "four hundred thirty-four billion, one hundred forty-one million, four hundred thirty-one thousand, three hundred".