4741027200 has 1152 divisors, whose sum is σ = 21914430720. Its totient is φ = 985374720.

The previous prime is 4741027183. The next prime is 4741027211. The reversal of 4741027200 is 27201474.

It is a happy number.

4741027200 is a `hidden beast` number, since 47 + 410 + 2 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×4741027200³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 70761567 + ... + 70761633.

Almost surely, 2^4741027200 is an apocalyptic number.

4741027200 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 4741027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10957215360).

4741027200 is an abundant number, since it is smaller than the sum of its proper divisors (17173403520).

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

4741027200 is a wasteful number, since it uses less digits than its factorization.

4741027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 4741027200 is about 68855.1174568746. The cubic root of 4741027200 is about 1679.9285683914.

Adding to 4741027200 its reverse (27201474), we get a palindrome (4768228674).

The spelling of 4741027200 in words is "four billion, seven hundred forty-one million, twenty-seven thousand, two hundred".