4451041000 has 256 divisors, whose sum is σ = 12378562560. Its totient is φ = 1466553600.

The previous prime is 4451040961. The next prime is 4451041003. The reversal of 4451041000 is 1401544.

It is not an unprimeable number, because it can be changed into a prime (4451041003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27306919 + ... + 27307081.

It is an arithmetic number, because the mean of its divisors is an integer number (48353760).

Almost surely, 2^4451041000 is an apocalyptic number.

4451041000 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 4451041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6189281280).

4451041000 is an abundant number, since it is smaller than the sum of its proper divisors (7927521560).

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

4451041000 is a wasteful number, since it uses less digits than its factorization.

4451041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 4451041000 is about 66716.1224892454. The cubic root of 4451041000 is about 1644.9544060311.

Adding to 4451041000 its reverse (1401544), we get a palindrome (4452442544).

The spelling of 4451041000 in words is "four billion, four hundred fifty-one million, forty-one thousand".