4234041000 has 288 divisors, whose sum is σ = 16649291880. Its totient is φ = 967680000.

The previous prime is 4234040983. The next prime is 4234041041. The reversal of 4234041000 is 1404324.

It can be written as a sum of positive squares in 4 ways, for example, as 1831668804 + 2402372196 = 42798^2 + 49014^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 436200 + ... + 445800.

Almost surely, 2^4234041000 is an apocalyptic number.

4234041000 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 4234041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8324645940).

4234041000 is an abundant number, since it is smaller than the sum of its proper divisors (12415250880).

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

4234041000 is a wasteful number, since it uses less digits than its factorization.

4234041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9642 (or 9618 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4234041000 is about 65069.5089884656. The cubic root of 4234041000 is about 1617.7758687382.

Adding to 4234041000 its reverse (1404324), we get a palindrome (4235445324).

The spelling of 4234041000 in words is "four billion, two hundred thirty-four million, forty-one thousand".