4042010010 has 64 divisors (see below), whose sum is σ = 9970128000. Its totient is φ = 1048120320.

The previous prime is 4042009987. The next prime is 4042010023. The reversal of 4042010010 is 100102404.

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 31 ways as a sum of consecutive naturals, for example, 379741 + ... + 390239.

It is an arithmetic number, because the mean of its divisors is an integer number (155783250).

Almost surely, 2^4042010010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4985064000).

4042010010 is an abundant number, since it is smaller than the sum of its proper divisors (5928117990).

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

4042010010 is a wasteful number, since it uses less digits than its factorization.

4042010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10863.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 4042010010 is about 63576.8040247385. The cubic root of 4042010010 is about 1592.9389375995.

Adding to 4042010010 its reverse (100102404), we get a palindrome (4142112414).

The spelling of 4042010010 in words is "four billion, forty-two million, ten thousand, ten".