4242541000 has 128 divisors (see below), whose sum is σ = 10192197600. Its totient is φ = 1652428800.

The previous prime is 4242540941. The next prime is 4242541001. The reversal of 4242541000 is 1452424.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 925011396 + 3317529604 = 30414^2 + 57598^2 .

It is not an unprimeable number, because it can be changed into a prime (4242541001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6496674 + ... + 6497326.

Almost surely, 2^4242541000 is an apocalyptic number.

4242541000 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 4242541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5096098800).

4242541000 is an abundant number, since it is smaller than the sum of its proper divisors (5949656600).

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

4242541000 is a wasteful number, since it uses less digits than its factorization.

4242541000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 4242541000 is about 65134.7910106419. The cubic root of 4242541000 is about 1618.8577275096.

Adding to 4242541000 its reverse (1452424), we get a palindrome (4243993424).

The spelling of 4242541000 in words is "four billion, two hundred forty-two million, five hundred forty-one thousand".