4144104100 has 72 divisors (see below), whose sum is σ = 9162413568. Its totient is φ = 1626556800.

The previous prime is 4144104053. The next prime is 4144104119. The reversal of 4144104100 is 14014414.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1962045 + ... + 1964155.

It is an arithmetic number, because the mean of its divisors is an integer number (127255744).

Almost surely, 2^4144104100 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 4144104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4581206784).

4144104100 is an abundant number, since it is smaller than the sum of its proper divisors (5018309468).

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

4144104100 is a wasteful number, since it uses less digits than its factorization.

4144104100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2485 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 4144104100 is about 64374.7163100545. The cubic root of 4144104100 is about 1606.2391933544.

Adding to 4144104100 its reverse (14014414), we get a palindrome (4158118514).

The spelling of 4144104100 in words is "four billion, one hundred forty-four million, one hundred four thousand, one hundred".