4941777600 has 420 divisors, whose sum is σ = 19241819784. Its totient is φ = 1239736320.

The previous prime is 4941777593. The next prime is 4941777629. The reversal of 4941777600 is 67771494.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2202079 + ... + 2204321.

Almost surely, 2^4941777600 is an apocalyptic number.

4941777600 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 4941777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9620909892).

4941777600 is an abundant number, since it is smaller than the sum of its proper divisors (14300042184).

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

4941777600 is a wasteful number, since it uses less digits than its factorization.

4941777600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 4941777600 is about 70297.7780587694. The cubic root of 4941777600 is about 1703.3127559917.

The spelling of 4941777600 in words is "four billion, nine hundred forty-one million, seven hundred seventy-seven thousand, six hundred".