4042052000 has 192 divisors, whose sum is σ = 11416204800. Its totient is φ = 1377792000.

The previous prime is 4042051957. The next prime is 4042052011. The reversal of 4042052000 is 2502404.

It is a self number, because there is not a number n which added to its sum of digits gives 4042052000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6747701 + ... + 6748299.

It is an arithmetic number, because the mean of its divisors is an integer number (59459400).

Almost surely, 2^4042052000 is an apocalyptic number.

4042052000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5708102400).

4042052000 is an abundant number, since it is smaller than the sum of its proper divisors (7374152800).

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

4042052000 is a wasteful number, since it uses less digits than its factorization.

4042052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 4042052000 is about 63577.1342543843. The cubic root of 4042052000 is about 1592.9444536071.

Adding to 4042052000 its reverse (2502404), we get a palindrome (4044554404).

The spelling of 4042052000 in words is "four billion, forty-two million, fifty-two thousand", and thus it is an eban number.