434040102132 has 288 divisors, whose sum is σ = 1292698713600. Its totient is φ = 112996525824.

The previous prime is 434040102113. The next prime is 434040102161. The reversal of 434040102132 is 231201040434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102052918 + ... + 102057170.

It is an arithmetic number, because the mean of its divisors is an integer number (4488537200).

Almost surely, 2^434040102132 is an apocalyptic number.

434040102132 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434040102132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646349356800).

434040102132 is an abundant number, since it is smaller than the sum of its proper divisors (858658611468).

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

434040102132 is a wasteful number, since it uses less digits than its factorization.

434040102132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4392 (or 4357 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 434040102132 its reverse (231201040434), we get a palindrome (665241142566).

The spelling of 434040102132 in words is "four hundred thirty-four billion, forty million, one hundred two thousand, one hundred thirty-two".