4123864332900 has 729 divisors, whose sum is σ = 14460385103073. Its totient is φ = 982548403200.

The previous prime is 4123864332881. The next prime is 4123864332953. The reversal of 4123864332900 is 92334683214.

The square root of 4123864332900 is 2030730.

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

4123864332900 is a `hidden beast` number, since 4 + 123 + 8 + 6 + 433 + 2 + 90 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 3737239041636 + 386625291264 = 1933194^2 + 621792^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 32471372637 + ... + 32471372763.

Almost surely, 2^{4123864332900} is an apocalyptic number.

4123864332900 is the 2030730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4123864332900

4123864332900 is an abundant number, since it is smaller than the sum of its proper divisors (10336520770173).

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

4123864332900 is a wasteful number, since it uses less digits than its factorization.

4123864332900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 4123864332900 in words is "four trillion, one hundred twenty-three billion, eight hundred sixty-four million, three hundred thirty-two thousand, nine hundred".