4244004431100 has 288 divisors, whose sum is σ = 15624069440000. Its totient is φ = 968112000000.

The previous prime is 4244004431089. The next prime is 4244004431119. The reversal of 4244004431100 is 11344004424.

It is a super-2 number, since 2×4244004431100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9206100 + ... + 9656100.

Almost surely, 2^{4244004431100} 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 4244004431100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7812034720000).

4244004431100 is an abundant number, since it is smaller than the sum of its proper divisors (11380065008900).

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

4244004431100 is a wasteful number, since it uses less digits than its factorization.

4244004431100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450530 (or 450517 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4244004431100 its reverse (11344004424), we get a palindrome (4255348435524).

The spelling of 4244004431100 in words is "four trillion, two hundred forty-four billion, four million, four hundred thirty-one thousand, one hundred".