4102933824900 has 243 divisors, whose sum is σ = 12960036901903. Its totient is φ = 1085705520000.

The previous prime is 4102933824893. The next prime is 4102933824947. The reversal of 4102933824900 is 94283392014.

The square root of 4102933824900 is 2025570.

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

4102933824900 is a `hidden beast` number, since 41 + 0 + 2 + 93 + 38 + 2 + 490 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1573765232004 + 2529168592896 = 1254498^2 + 1590336^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 15252541966 + ... + 15252542234.

Almost surely, 2^{4102933824900} is an apocalyptic number.

4102933824900 is the 2025570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102933824900

4102933824900 is an abundant number, since it is smaller than the sum of its proper divisors (8857103077003).

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

4102933824900 is a wasteful number, since it uses less digits than its factorization.

4102933824900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 4102933824900 in words is "four trillion, one hundred two billion, nine hundred thirty-three million, eight hundred twenty-four thousand, nine hundred".