431144004102 has 128 divisors (see below), whose sum is σ = 1060106434560. Its totient is φ = 114092267520.

The previous prime is 431144004089. The next prime is 431144004103. The reversal of 431144004102 is 201400441134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431144004103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28228924 + ... + 28244192.

It is an arithmetic number, because the mean of its divisors is an integer number (8282081520).

Almost surely, 2^431144004102 is an apocalyptic number.

431144004102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 431144004102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530053217280).

431144004102 is an abundant number, since it is smaller than the sum of its proper divisors (628962430458).

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

431144004102 is a wasteful number, since it uses less digits than its factorization.

431144004102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15926.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 431144004102 its reverse (201400441134), we get a palindrome (632544445236).

The spelling of 431144004102 in words is "four hundred thirty-one billion, one hundred forty-four million, four thousand, one hundred two".