4541616000 has 256 divisors, whose sum is σ = 16729876800. Its totient is φ = 1210982400.

The previous prime is 4541615959. The next prime is 4541616031. The reversal of 4541616000 is 6161454.

4541616000 is a `hidden beast` number, since 4 + 5 + 41 + 616 + 0 + 0 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 426744 + ... + 437256.

Almost surely, 2^4541616000 is an apocalyptic number.

4541616000 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 4541616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8364938400).

4541616000 is an abundant number, since it is smaller than the sum of its proper divisors (12188260800).

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

4541616000 is a wasteful number, since it uses less digits than its factorization.

4541616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10551 (or 10523 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4541616000 is about 67391.5128187519. The cubic root of 4541616000 is about 1656.0373862595.

Adding to 4541616000 its reverse (6161454), we get a palindrome (4547777454).

It can be divided in two parts, 45416 and 16000, that added together give a palindrome (61416).

The spelling of 4541616000 in words is "four billion, five hundred forty-one million, six hundred sixteen thousand".