4431314442100 has 288 divisors, whose sum is σ = 12483732101120. Its totient is φ = 1325872074240.

The previous prime is 4431314442097. The next prime is 4431314442103. The reversal of 4431314442100 is 12444131344.

It is an interprime number because it is at equal distance from previous prime (4431314442097) and next prime (4431314442103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4431314442103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84175987 + ... + 84228613.

Almost surely, 2^{4431314442100} 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 4431314442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6241866050560).

4431314442100 is an abundant number, since it is smaller than the sum of its proper divisors (8052417659020).

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

4431314442100 is a wasteful number, since it uses less digits than its factorization.

4431314442100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53167 (or 53160 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 4431314442100 its reverse (12444131344), we get a palindrome (4443758573444).

The spelling of 4431314442100 in words is "four trillion, four hundred thirty-one billion, three hundred fourteen million, four hundred forty-two thousand, one hundred".