4000142144 has 56 divisors (see below), whose sum is σ = 8284601160. Its totient is φ = 1913913344.

The previous prime is 4000142131. The next prime is 4000142147. The reversal of 4000142144 is 4412410004.

It is a happy number.

4000142144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 259596544 + 3740545600 = 16112^2 + 61160^2 .

It is a super-2 number, since 2×4000142144² = 32002274344409833472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000142147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200192 + ... + 219264.

Almost surely, 2^4000142144 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 4000142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4142300580).

4000142144 is an abundant number, since it is smaller than the sum of its proper divisors (4284459016).

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

4000142144 is a wasteful number, since it uses less digits than its factorization.

4000142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19227 (or 19217 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4000142144 is about 63246.6769403737. The cubic root of 4000142144 is about 1587.4198550401.

Adding to 4000142144 its reverse (4412410004), we get a palindrome (8412552148).

The spelling of 4000142144 in words is "four billion, one hundred forty-two thousand, one hundred forty-four".