4042890000 has 300 divisors, whose sum is σ = 14635549500. Its totient is φ = 1040256000.

The previous prime is 4042889999. The next prime is 4042890011. The reversal of 4042890000 is 982404.

4042890000 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 10 ways, for example, as 3335755536 + 707134464 = 57756^2 + 26592^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2609226 + ... + 2610774.

It is an arithmetic number, because the mean of its divisors is an integer number (48785165).

Almost surely, 2^4042890000 is an apocalyptic number.

4042890000 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 4042890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7317774750).

4042890000 is an abundant number, since it is smaller than the sum of its proper divisors (10592659500).

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

4042890000 is a wasteful number, since it uses less digits than its factorization.

4042890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4042890000 is about 63583.7243325680. The cubic root of 4042890000 is about 1593.0545293156.

The spelling of 4042890000 in words is "four billion, forty-two million, eight hundred ninety thousand".