4861944000 has 672 divisors, whose sum is σ = 18778923072. Its totient is φ = 1244160000.

The previous prime is 4861943981. The next prime is 4861944001. The reversal of 4861944000 is 4491684.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4861944001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79703970 + ... + 79704030.

It is an arithmetic number, because the mean of its divisors is an integer number (27944826).

Almost surely, 2^4861944000 is an apocalyptic number.

4861944000 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 4861944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9389461536).

4861944000 is an abundant number, since it is smaller than the sum of its proper divisors (13916979072).

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

4861944000 is an equidigital number, since it uses as much as digits as its factorization.

4861944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4861944000 is about 69727.6415777846. The cubic root of 4861944000 is about 1694.0906705263.

The spelling of 4861944000 in words is "four billion, eight hundred sixty-one million, nine hundred forty-four thousand".