4050478080 has 528 divisors, whose sum is σ = 15680478528. Its totient is φ = 958464000.

The previous prime is 4050478079. The next prime is 4050478129. The reversal of 4050478080 is 808740504.

4050478080 is a `hidden beast` number, since 4 + 0 + 504 + 78 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30919615 + ... + 30919745.

It is an arithmetic number, because the mean of its divisors is an integer number (29697876).

Almost surely, 2^4050478080 is an apocalyptic number.

4050478080 is a gapful number since it is divisible by the number (40) 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 4050478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7840239264).

4050478080 is an abundant number, since it is smaller than the sum of its proper divisors (11630000448).

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

4050478080 is a wasteful number, since it uses less digits than its factorization.

4050478080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 4050478080 is about 63643.3663471693. The cubic root of 4050478080 is about 1594.0505717764.

The spelling of 4050478080 in words is "four billion, fifty million, four hundred seventy-eight thousand, eighty".