4410142100 has 108 divisors (see below), whose sum is σ = 11988974844. Its totient is φ = 1395717120.

The previous prime is 4410142043. The next prime is 4410142129. The reversal of 4410142100 is 12410144.

It can be written as a sum of positive squares in 6 ways, for example, as 2775556 + 4407366544 = 1666^2 + 66388^2 .

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 29084 + ... + 98316.

Almost surely, 2^4410142100 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 4410142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5994487422).

4410142100 is an abundant number, since it is smaller than the sum of its proper divisors (7578832744).

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

4410142100 is a wasteful number, since it uses less digits than its factorization.

4410142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69274 (or 69260 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 4410142100 is about 66408.9007588591. The cubic root of 4410142100 is about 1639.9006111690.

Adding to 4410142100 its reverse (12410144), we get a palindrome (4422552244).

The spelling of 4410142100 in words is "four billion, four hundred ten million, one hundred forty-two thousand, one hundred".