4132431124100 has 18 divisors (see below), whose sum is σ = 8967375539514. Its totient is φ = 1652972449600.

The previous prime is 4132431124067. The next prime is 4132431124109. The reversal of 4132431124100 is 14211342314.

It can be written as a sum of positive squares in 3 ways, for example, as 1045023685696 + 3087407438404 = 1022264^2 + 1757102^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4132431124100.

It is not an unprimeable number, because it can be changed into a prime (4132431124109) 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 5 ways as a sum of consecutive naturals, for example, 20662155521 + ... + 20662155720.

It is an arithmetic number, because the mean of its divisors is an integer number (498187529973).

Almost surely, 2^{4132431124100} is an apocalyptic number.

It is an amenable number.

4132431124100 is an abundant number, since it is smaller than the sum of its proper divisors (4834944415414).

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

4132431124100 is a wasteful number, since it uses less digits than its factorization.

4132431124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41324311255 (or 41324311248 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 4132431124100 its reverse (14211342314), we get a palindrome (4146642466414).

The spelling of 4132431124100 in words is "four trillion, one hundred thirty-two billion, four hundred thirty-one million, one hundred twenty-four thousand, one hundred".