4006111560 has 192 divisors, whose sum is σ = 13429765440. Its totient is φ = 955046400.

The previous prime is 4006111537. The next prime is 4006111579. The reversal of 4006111560 is 651116004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4006111560.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 883459 + ... + 887981.

It is an arithmetic number, because the mean of its divisors is an integer number (69946695).

Almost surely, 2^4006111560 is an apocalyptic number.

4006111560 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 4006111560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6714882720).

4006111560 is an abundant number, since it is smaller than the sum of its proper divisors (9423653880).

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

4006111560 is a wasteful number, since it uses less digits than its factorization.

4006111560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4620 (or 4605 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 4006111560 is about 63293.8508861643. The cubic root of 4006111560 is about 1588.2090986368.

Adding to 4006111560 its reverse (651116004), we get a palindrome (4657227564).

The spelling of 4006111560 in words is "four billion, six million, one hundred eleven thousand, five hundred sixty".