4041104000 has 256 divisors, whose sum is σ = 10826524800. Its totient is φ = 1494630400.

The previous prime is 4041103991. The next prime is 4041104063. The reversal of 4041104000 is 4011404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22575911 + ... + 22576089.

Almost surely, 2^4041104000 is an apocalyptic number.

4041104000 is a gapful number since it is divisible by the number (40) 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 4041104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5413262400).

4041104000 is an abundant number, since it is smaller than the sum of its proper divisors (6785420800).

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

4041104000 is a wasteful number, since it uses less digits than its factorization.

4041104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4041104000 is about 63569.6783065637. The cubic root of 4041104000 is about 1592.8199104778.

Adding to 4041104000 its reverse (4011404), we get a palindrome (4045115404).

The spelling of 4041104000 in words is "four billion, forty-one million, one hundred four thousand".