4000616144 has 20 divisors (see below), whose sum is σ = 8858507424. Its totient is φ = 1714549728.

The previous prime is 4000616111. The next prime is 4000616167. The reversal of 4000616144 is 4416160004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17859782 + ... + 17860005.

Almost surely, 2^4000616144 is an apocalyptic number.

It is an amenable number.

4000616144 is an abundant number, since it is smaller than the sum of its proper divisors (4857891280).

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

4000616144 is a wasteful number, since it uses less digits than its factorization.

4000616144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35719802 (or 35719796 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 4000616144 is about 63250.4240618195. The cubic root of 4000616144 is about 1587.4825534198.

Adding to 4000616144 its reverse (4416160004), we get a palindrome (8416776148).

The spelling of 4000616144 in words is "four billion, six hundred sixteen thousand, one hundred forty-four".