4961443200 has 768 divisors, whose sum is σ = 20435120640. Its totient is φ = 1032192000.

The previous prime is 4961443181. The next prime is 4961443211. The reversal of 4961443200 is 23441694.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49123150 + ... + 49123250.

It is an arithmetic number, because the mean of its divisors is an integer number (26608230).

Almost surely, 2^4961443200 is an apocalyptic number.

4961443200 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 4961443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10217560320).

4961443200 is an abundant number, since it is smaller than the sum of its proper divisors (15473677440).

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

4961443200 is a wasteful number, since it uses less digits than its factorization.

4961443200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 4961443200 is about 70437.5127329181. The cubic root of 4961443200 is about 1705.5691864469.

Adding to 4961443200 its reverse (23441694), we get a palindrome (4984884894).

The spelling of 4961443200 in words is "four billion, nine hundred sixty-one million, four hundred forty-three thousand, two hundred".