4016502144 has 384 divisors, whose sum is σ = 13169407680. Its totient is φ = 1167851520.

The previous prime is 4016502143. The next prime is 4016502187. The reversal of 4016502144 is 4412056104.

4016502144 is a `hidden beast` number, since 4 + 0 + 1 + 650 + 2 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4016502144² = 32264578945513193472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4016502143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16665864 + ... + 16666104.

Almost surely, 2^4016502144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4016502144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6584703840).

4016502144 is an abundant number, since it is smaller than the sum of its proper divisors (9152905536).

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

4016502144 is a wasteful number, since it uses less digits than its factorization.

4016502144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4016502144 is about 63375.8798282122. The cubic root of 4016502144 is about 1589.5810169317.

Adding to 4016502144 its reverse (4412056104), we get a palindrome (8428558248).

The spelling of 4016502144 in words is "four billion, sixteen million, five hundred two thousand, one hundred forty-four".