4410142432100 has 72 divisors (see below), whose sum is σ = 9881761860096. Its totient is φ = 1706626080000.

The previous prime is 4410142432093. The next prime is 4410142432109. The reversal of 4410142432100 is 12342410144.

It is a super-2 number, since 2×4410142432100² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4410142432100.

It is not an unprimeable number, because it can be changed into a prime (4410142432109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9922640 + ... + 10357560.

Almost surely, 2^{4410142432100} 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 4410142432100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4940880930048).

4410142432100 is an abundant number, since it is smaller than the sum of its proper divisors (5471619427996).

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

4410142432100 is a wasteful number, since it uses less digits than its factorization.

4410142432100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438237 (or 438230 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 4410142432100 its reverse (12342410144), we get a palindrome (4422484842244).

The spelling of 4410142432100 in words is "four trillion, four hundred ten billion, one hundred forty-two million, four hundred thirty-two thousand, one hundred".