4032056448 has 128 divisors (see below), whose sum is σ = 13600272000. Its totient is φ = 1152009216.

The previous prime is 4032056429. The next prime is 4032056473. The reversal of 4032056448 is 8446502304.

4032056448 is a `hidden beast` number, since 4 + 0 + 3 + 2 + 0 + 5 + 644 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 59143 + ... + 107526.

It is an arithmetic number, because the mean of its divisors is an integer number (106252125).

Almost surely, 2^4032056448 is an apocalyptic number.

4032056448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4032056448 is an abundant number, since it is smaller than the sum of its proper divisors (9568215552).

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

4032056448 is a wasteful number, since it uses less digits than its factorization.

4032056448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166699 (or 166681 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4032056448 is about 63498.4759502147. The cubic root of 4032056448 is about 1591.6303106973.

The spelling of 4032056448 in words is "four billion, thirty-two million, fifty-six thousand, four hundred forty-eight".