4008886560 has 384 divisors, whose sum is σ = 16413788160. Its totient is φ = 894716928.

The previous prime is 4008886559. The next prime is 4008886579. The reversal of 4008886560 is 656888004.

4008886560 is a `hidden beast` number, since 4 + 0 + 0 + 8 + 8 + 86 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1298779 + ... + 1301861.

It is an arithmetic number, because the mean of its divisors is an integer number (42744240).

Almost surely, 2^4008886560 is an apocalyptic number.

4008886560 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 4008886560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8206894080).

4008886560 is an abundant number, since it is smaller than the sum of its proper divisors (12404901600).

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

4008886560 is a wasteful number, since it uses less digits than its factorization.

4008886560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3157 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 4008886560 is about 63315.7686520507. The cubic root of 4008886560 is about 1588.5757270532.

The spelling of 4008886560 in words is "four billion, eight million, eight hundred eighty-six thousand, five hundred sixty".