4411416000 has 112 divisors (see below), whose sum is σ = 14566574880. Its totient is φ = 1176371200.

The previous prime is 4411415977. The next prime is 4411416001. The reversal of 4411416000 is 6141144.

It is a super-2 number, since 2×4411416000² = 38921182250112000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4411416001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67905 + ... + 115904.

Almost surely, 2^4411416000 is an apocalyptic number.

4411416000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4411416000 is an abundant number, since it is smaller than the sum of its proper divisors (10155158880).

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

4411416000 is a wasteful number, since it uses less digits than its factorization.

4411416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183839 (or 183819 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4411416000 is about 66418.4914011151. The cubic root of 4411416000 is about 1640.0584948400.

Adding to 4411416000 its reverse (6141144), we get a palindrome (4417557144).

The spelling of 4411416000 in words is "four billion, four hundred eleven million, four hundred sixteen thousand".