4941328868100 has 189 divisors, whose sum is σ = 16078624035663. Its totient is φ = 1317527648640.

The previous prime is 4941328868083. The next prime is 4941328868129. The reversal of 4941328868100 is 18688231494.

It is a happy number.

The square root of 4941328868100 is 2222910.

It is a perfect power (a square), and thus also a powerful number.

4941328868100 is a `hidden beast` number, since 49 + 413 + 2 + 8 + 86 + 8 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1018932774084 + 3922396094016 = 1009422^2 + 1980504^2 .

It is a super-2 number, since 2×4941328868100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 600181584 + ... + 600189816.

Almost surely, 2^{4941328868100} is an apocalyptic number.

4941328868100 is the 2222910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4941328868100

4941328868100 is an abundant number, since it is smaller than the sum of its proper divisors (11137295167563).

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

4941328868100 is an frugal number, since it uses more digits than its factorization.

4941328868100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16498 (or 8243 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 4941328868100 in words is "four trillion, nine hundred forty-one billion, three hundred twenty-eight million, eight hundred sixty-eight thousand, one hundred".