4141430000 has 200 divisors, whose sum is σ = 10738062720. Its totient is φ = 1542240000.

The previous prime is 4141429973. The next prime is 4141430003. The reversal of 4141430000 is 341414.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141430003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13489847 + ... + 13490153.

Almost surely, 2^4141430000 is an apocalyptic number.

4141430000 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 4141430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5369031360).

4141430000 is an abundant number, since it is smaller than the sum of its proper divisors (6596632720).

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

4141430000 is a wasteful number, since it uses less digits than its factorization.

4141430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4141430000 is about 64353.9431581313. The cubic root of 4141430000 is about 1605.8936286412.

Adding to 4141430000 its reverse (341414), we get a palindrome (4141771414).

The spelling of 4141430000 in words is "four billion, one hundred forty-one million, four hundred thirty thousand".