4417053696 has 396 divisors, whose sum is σ = 14907375756. Its totient is φ = 1254359040.

The previous prime is 4417053581. The next prime is 4417053721. The reversal of 4417053696 is 6963507144.

4417053696 is a `hidden beast` number, since 4 + 41 + 70 + 536 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2158903296 + 2258150400 = 46464^2 + 47520^2 .

It is a tau number, because it is divible by the number of its divisors (396).

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 35 ways as a sum of consecutive naturals, for example, 18957196 + ... + 18957428.

Almost surely, 2^4417053696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4417053696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7453687878).

4417053696 is an abundant number, since it is smaller than the sum of its proper divisors (10490322060).

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

4417053696 is a wasteful number, since it uses less digits than its factorization.

4417053696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 4417053696 is about 66460.9185612116. The cubic root of 4417053696 is about 1640.7568507432.

The spelling of 4417053696 in words is "four billion, four hundred seventeen million, fifty-three thousand, six hundred ninety-six".