4100044032 has 324 divisors, whose sum is σ = 14358445920. Its totient is φ = 1119799296.

The previous prime is 4100044019. The next prime is 4100044049. The reversal of 4100044032 is 2304400014.

It is a super-2 number, since 2×4100044032² = 33620722128677634048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4100043996 and 4100044014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2595819 + ... + 2597397.

Almost surely, 2^4100044032 is an apocalyptic number.

4100044032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4100044032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7179222960).

4100044032 is an abundant number, since it is smaller than the sum of its proper divisors (10258401888).

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

4100044032 is a wasteful number, since it uses less digits than its factorization.

4100044032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4100044032 is about 64031.5862055595. The cubic root of 4100044032 is about 1600.5263934664.

Adding to 4100044032 its reverse (2304400014), we get a palindrome (6404444046).

The spelling of 4100044032 in words is "four billion, one hundred million, forty-four thousand, thirty-two".