4132431221100 has 576 divisors, whose sum is σ = 15138243757056. Its totient is φ = 846939525120.

The previous prime is 4132431221089. The next prime is 4132431221141. The reversal of 4132431221100 is 11221342314.

It is a super-3 number, since 3×4132431221100³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 683834679 + ... + 683840721.

Almost surely, 2^{4132431221100} 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 4132431221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7569121878528).

4132431221100 is an abundant number, since it is smaller than the sum of its proper divisors (11005812535956).

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

4132431221100 is a wasteful number, since it uses less digits than its factorization.

4132431221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6794 (or 6787 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 4132431221100 its reverse (11221342314), we get a palindrome (4143652563414).

The spelling of 4132431221100 in words is "four trillion, one hundred thirty-two billion, four hundred thirty-one million, two hundred twenty-one thousand, one hundred".