4000233042 has 144 divisors (see below), whose sum is σ = 10047068928. Its totient is φ = 1145664000.

The previous prime is 4000233037. The next prime is 4000233043. The reversal of 4000233042 is 2403320004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4000233043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5326167 + ... + 5326917.

It is an arithmetic number, because the mean of its divisors is an integer number (69771312).

Almost surely, 2^4000233042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000233042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5023534464).

4000233042 is an abundant number, since it is smaller than the sum of its proper divisors (6046835886).

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

4000233042 is a wasteful number, since it uses less digits than its factorization.

4000233042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 4000233042 is about 63247.3955353104. The cubic root of 4000233042 is about 1587.4318789625.

Adding to 4000233042 its reverse (2403320004), we get a palindrome (6403553046).

The spelling of 4000233042 in words is "four billion, two hundred thirty-three thousand, forty-two".