4116404448 has 288 divisors, whose sum is σ = 13391554176. Its totient is φ = 1235824128.

The previous prime is 4116404447. The next prime is 4116404483. The reversal of 4116404448 is 8444046114.

4116404448 is a `hidden beast` number, since 4 + 1 + 1 + 640 + 4 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4116404441) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4346311 + ... + 4347257.

It is an arithmetic number, because the mean of its divisors is an integer number (46498452).

Almost surely, 2^4116404448 is an apocalyptic number.

4116404448 is a gapful number since it is divisible by the number (48) 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 4116404448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6695777088).

4116404448 is an abundant number, since it is smaller than the sum of its proper divisors (9275149728).

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

4116404448 is a wasteful number, since it uses less digits than its factorization.

4116404448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4116404448 is about 64159.2117158557. The cubic root of 4116404448 is about 1602.6524296226.

The spelling of 4116404448 in words is "four billion, one hundred sixteen million, four hundred four thousand, four hundred forty-eight".