4008008520 has 256 divisors, whose sum is σ = 14012352000. Its totient is φ = 1017105408.

The previous prime is 4008008503. The next prime is 4008008527. The reversal of 4008008520 is 258008004.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4008008527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7874026 + ... + 7874534.

It is an arithmetic number, because the mean of its divisors is an integer number (54735750).

Almost surely, 2^4008008520 is an apocalyptic number.

4008008520 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 4008008520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7006176000).

4008008520 is an abundant number, since it is smaller than the sum of its proper divisors (10004343480).

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

4008008520 is a wasteful number, since it uses less digits than its factorization.

4008008520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 4008008520 is about 63308.8344546004. The cubic root of 4008008520 is about 1588.4597401612.

The spelling of 4008008520 in words is "four billion, eight million, eight thousand, five hundred twenty".