4106573033472 has 2184 divisors, whose sum is σ = 16460478429696. Its totient is φ = 1011316948992.

The previous prime is 4106573033441. The next prime is 4106573033533. The reversal of 4106573033472 is 2743303756014.

4106573033472 is a `hidden beast` number, since 4 + 1 + 0 + 6 + 573 + 0 + 3 + 3 + 4 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (2184).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 32335220673 + ... + 32335220799.

Almost surely, 2^{4106573033472} is an apocalyptic number.

4106573033472 is a gapful number since it is divisible by the number (42) 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 4106573033472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8230239214848).

4106573033472 is an abundant number, since it is smaller than the sum of its proper divisors (12353905396224).

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

4106573033472 is a wasteful number, since it uses less digits than its factorization.

4106573033472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

Adding to 4106573033472 its reverse (2743303756014), we get a palindrome (6849876789486).

The spelling of 4106573033472 in words is "four trillion, one hundred six billion, five hundred seventy-three million, thirty-three thousand, four hundred seventy-two".