4861438800 has 240 divisors, whose sum is σ = 16606080000. Its totient is φ = 1212157440.

The previous prime is 4861438759. The next prime is 4861438801. The reversal of 4861438800 is 88341684.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4861438800² = 47267174412290880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4861438801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1799851 + ... + 1802549.

It is an arithmetic number, because the mean of its divisors is an integer number (69192000).

Almost surely, 2^4861438800 is an apocalyptic number.

4861438800 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 4861438800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8303040000).

4861438800 is an abundant number, since it is smaller than the sum of its proper divisors (11744641200).

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

4861438800 is a wasteful number, since it uses less digits than its factorization.

4861438800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2818 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 4861438800 is about 69724.0188170475. The cubic root of 4861438800 is about 1694.0319913744.

The spelling of 4861438800 in words is "four billion, eight hundred sixty-one million, four hundred thirty-eight thousand, eight hundred".