4416403122576 has 135 divisors (see below), whose sum is σ = 12536652235809. Its totient is φ = 1451362910976.

The previous prime is 4416403122539. The next prime is 4416403122581. The reversal of 4416403122576 is 6752213046144.

The square root of 4416403122576 is 2101524.

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

4416403122576 is a `hidden beast` number, since 4 + 4 + 1 + 6 + 40 + 31 + 2 + 2 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2506965555600 + 1909437566976 = 1583340^2 + 1381824^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1840933825 + ... + 1840936223.

Almost surely, 2^{4416403122576} is an apocalyptic number.

4416403122576 is the 2101524-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4416403122576

4416403122576 is an abundant number, since it is smaller than the sum of its proper divisors (8120249113233).

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

4416403122576 is an frugal number, since it uses more digits than its factorization.

4416403122576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4958 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 4416403122576 in words is "four trillion, four hundred sixteen billion, four hundred three million, one hundred twenty-two thousand, five hundred seventy-six".