4013630560 has 96 divisors (see below), whose sum is σ = 9601804800. Its totient is φ = 1585344000.

The previous prime is 4013630549. The next prime is 4013630581. The reversal of 4013630560 is 650363104.

4013630560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4013630560² = 32218460544331827200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5581881 + ... + 5582599.

It is an arithmetic number, because the mean of its divisors is an integer number (100018800).

Almost surely, 2^4013630560 is an apocalyptic number.

4013630560 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 4013630560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4800902400).

4013630560 is an abundant number, since it is smaller than the sum of its proper divisors (5588174240).

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

4013630560 is a wasteful number, since it uses less digits than its factorization.

4013630560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 4013630560 is about 63353.2205969041. The cubic root of 4013630560 is about 1589.2021048417.

Adding to 4013630560 its reverse (650363104), we get a palindrome (4663993664).

The spelling of 4013630560 in words is "four billion, thirteen million, six hundred thirty thousand, five hundred sixty".