4042002000 has 80 divisors (see below), whose sum is σ = 13031433792. Its totient is φ = 1077865600.

The previous prime is 4042001939. The next prime is 4042002007. The reversal of 4042002000 is 2002404.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042002007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330834 + ... + 342833.

Almost surely, 2^4042002000 is an apocalyptic number.

4042002000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042002000 is an abundant number, since it is smaller than the sum of its proper divisors (8989431792).

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

4042002000 is a wasteful number, since it uses less digits than its factorization.

4042002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673693 (or 673677 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4042002000 is about 63576.7410300339. The cubic root of 4042002000 is about 1592.9378853632.

Adding to 4042002000 its reverse (2002404), we get a palindrome (4044004404).

The spelling of 4042002000 in words is "four billion, forty-two million, two thousand", and thus it is an eban number.