4241643000 has 512 divisors, whose sum is σ = 15979991040. Its totient is φ = 916531200.

The previous prime is 4241642929. The next prime is 4241643013. The reversal of 4241643000 is 3461424.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41180949 + ... + 41181051.

It is an arithmetic number, because the mean of its divisors is an integer number (31210920).

Almost surely, 2^4241643000 is an apocalyptic number.

4241643000 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 4241643000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7989995520).

4241643000 is an abundant number, since it is smaller than the sum of its proper divisors (11738348040).

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

4241643000 is a wasteful number, since it uses less digits than its factorization.

4241643000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4241643000 is about 65127.8972484142. The cubic root of 4241643000 is about 1618.7435006174.

The spelling of 4241643000 in words is "four billion, two hundred forty-one million, six hundred forty-three thousand".