4008260520 has 576 divisors, whose sum is σ = 15685488000. Its totient is φ = 883491840.

The previous prime is 4008260519. The next prime is 4008260591. The reversal of 4008260520 is 250628004.

4008260520 is a `hidden beast` number, since 4 + 0 + 0 + 82 + 60 + 520 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24001477 + ... + 24001643.

It is an arithmetic number, because the mean of its divisors is an integer number (27231750).

Almost surely, 2^4008260520 is an apocalyptic number.

4008260520 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 4008260520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7842744000).

4008260520 is an abundant number, since it is smaller than the sum of its proper divisors (11677227480).

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

4008260520 is a wasteful number, since it uses less digits than its factorization.

4008260520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4008260520 is about 63310.8246668767. The cubic root of 4008260520 is about 1588.4930304651.

Adding to 4008260520 its reverse (250628004), we get a palindrome (4258888524).

The spelling of 4008260520 in words is "four billion, eight million, two hundred sixty thousand, five hundred twenty".