4012288560 has 480 divisors, whose sum is σ = 16243960320. Its totient is φ = 907587072.

The previous prime is 4012288549. The next prime is 4012288573. The reversal of 4012288560 is 658822104.

4012288560 is a `hidden beast` number, since 4 + 0 + 12 + 2 + 88 + 560 = 666.

4012288560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17675167 + ... + 17675393.

It is an arithmetic number, because the mean of its divisors is an integer number (33841584).

Almost surely, 2^4012288560 is an apocalyptic number.

4012288560 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 4012288560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8121980160).

4012288560 is an abundant number, since it is smaller than the sum of its proper divisors (12231671760).

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

4012288560 is a wasteful number, since it uses less digits than its factorization.

4012288560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 4012288560 is about 63342.6283003792. The cubic root of 4012288560 is about 1589.0249628971.

The spelling of 4012288560 in words is "four billion, twelve million, two hundred eighty-eight thousand, five hundred sixty".