4008478320 has 720 divisors, whose sum is σ = 17710428960. Its totient is φ = 830269440.

The previous prime is 4008478319. The next prime is 4008478333. The reversal of 4008478320 is 238748004.

It is a tau number, because it is divible by the number of its divisors (720).

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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12806484 + ... + 12806796.

It is an arithmetic number, because the mean of its divisors is an integer number (24597818).

Almost surely, 2^4008478320 is an apocalyptic number.

4008478320 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 4008478320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8855214480).

4008478320 is an abundant number, since it is smaller than the sum of its proper divisors (13701950640).

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

4008478320 is a wasteful number, since it uses less digits than its factorization.

4008478320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4008478320 is about 63312.5447285133. The cubic root of 4008478320 is about 1588.5218016751.

The spelling of 4008478320 in words is "four billion, eight million, four hundred seventy-eight thousand, three hundred twenty".