4861824000 has 352 divisors, whose sum is σ = 17657782272. Its totient is φ = 1177600000.

The previous prime is 4861823977. The next prime is 4861824061. The reversal of 4861824000 is 4281684.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 4223425 + ... + 4224575.

Almost surely, 2^4861824000 is an apocalyptic number.

4861824000 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 4861824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8828891136).

4861824000 is an abundant number, since it is smaller than the sum of its proper divisors (12795958272).

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

4861824000 is a wasteful number, since it uses less digits than its factorization.

4861824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 4861824000 is about 69726.7810815902. The cubic root of 4861824000 is about 1694.0767328536.

The spelling of 4861824000 in words is "four billion, eight hundred sixty-one million, eight hundred twenty-four thousand".