4966129200 has 120 divisors (see below), whose sum is σ = 15967914496. Its totient is φ = 1319328000.

The previous prime is 4966129183. The next prime is 4966129213. The reversal of 4966129200 is 29216694.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317565 + ... + 332835.

Almost surely, 2^4966129200 is an apocalyptic number.

4966129200 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 4966129200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7983957248).

4966129200 is an abundant number, since it is smaller than the sum of its proper divisors (11001785296).

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

4966129200 is a wasteful number, since it uses less digits than its factorization.

4966129200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15563 (or 15552 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 4966129200 is about 70470.7684079009. The cubic root of 4966129200 is about 1706.1059779951.

The spelling of 4966129200 in words is "four billion, nine hundred sixty-six million, one hundred twenty-nine thousand, two hundred".