4128766200 has 576 divisors, whose sum is σ = 16123030560. Its totient is φ = 937820160.

The previous prime is 4128766171. The next prime is 4128766211. The reversal of 4128766200 is 26678214.

4128766200 is a `hidden beast` number, since 4 + 1 + 28 + 7 + 6 + 620 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38586547 + ... + 38586653.

Almost surely, 2^4128766200 is an apocalyptic number.

4128766200 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 4128766200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8061515280).

4128766200 is an abundant number, since it is smaller than the sum of its proper divisors (11994264360).

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

4128766200 is a wasteful number, since it uses less digits than its factorization.

4128766200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4128766200 is about 64255.4760312302. The cubic root of 4128766200 is about 1604.2551060554.

The spelling of 4128766200 in words is "four billion, one hundred twenty-eight million, seven hundred sixty-six thousand, two hundred".