4405633416 has 40 divisors (see below), whose sum is σ = 12339854670. Its totient is φ = 1468544256.

The previous prime is 4405633403. The next prime is 4405633451. The reversal of 4405633416 is 6143365044.

4405633416 is a `hidden beast` number, since 4 + 4 + 0 + 5 + 633 + 4 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4309397316 + 96236100 = 65646^2 + 9810^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3398761 + ... + 3400056.

Almost surely, 2^4405633416 is an apocalyptic number.

It is an amenable number.

4405633416 is an abundant number, since it is smaller than the sum of its proper divisors (7934221254).

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

4405633416 is a wasteful number, since it uses less digits than its factorization.

4405633416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6798835 (or 6798822 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4405633416 is about 66374.9456948930. The cubic root of 4405633416 is about 1639.3415728902.

The spelling of 4405633416 in words is "four billion, four hundred five million, six hundred thirty-three thousand, four hundred sixteen".