4966051200 has 768 divisors, whose sum is σ = 19378759680. Its totient is φ = 1105920000.

The previous prime is 4966051199. The next prime is 4966051201. The reversal of 4966051200 is 21506694.

It is an interprime number because it is at equal distance from previous prime (4966051199) and next prime (4966051201).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4966051201) 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, 121123180 + ... + 121123220.

It is an arithmetic number, because the mean of its divisors is an integer number (25232760).

Almost surely, 2^4966051200 is an apocalyptic number.

4966051200 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 4966051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9689379840).

4966051200 is an abundant number, since it is smaller than the sum of its proper divisors (14412708480).

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

4966051200 is a wasteful number, since it uses less digits than its factorization.

4966051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 4966051200 is about 70470.2149847721. The cubic root of 4966051200 is about 1706.0970456887.

Adding to 4966051200 its reverse (21506694), we get a palindrome (4987557894).

The spelling of 4966051200 in words is "four billion, nine hundred sixty-six million, fifty-one thousand, two hundred".