4000144016 has 20 divisors (see below), whose sum is σ = 8454850224. Its totient is φ = 1818247200.

The previous prime is 4000144007. The next prime is 4000144051. The reversal of 4000144016 is 6104410004.

It is a happy 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, 11363870 + ... + 11364221.

Almost surely, 2^4000144016 is an apocalyptic number.

It is an amenable number.

4000144016 is an abundant number, since it is smaller than the sum of its proper divisors (4454706208).

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

4000144016 is a wasteful number, since it uses less digits than its factorization.

4000144016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22728110 (or 22728104 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4000144016 is about 63246.6917395685. The cubic root of 4000144016 is about 1587.4201026687.

The spelling of 4000144016 in words is "four billion, one hundred forty-four thousand, sixteen".