4141101000 has 256 divisors, whose sum is σ = 13289702400. Its totient is φ = 1073280000.

The previous prime is 4141100969. The next prime is 4141101067. The reversal of 4141101000 is 1011414.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23936914 + ... + 23937086.

It is an arithmetic number, because the mean of its divisors is an integer number (51912900).

Almost surely, 2^4141101000 is an apocalyptic number.

4141101000 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 4141101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6644851200).

4141101000 is an abundant number, since it is smaller than the sum of its proper divisors (9148601400).

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

4141101000 is a wasteful number, since it uses less digits than its factorization.

4141101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 4141101000 is about 64351.3869314407. The cubic root of 4141101000 is about 1605.8511028313.

Adding to 4141101000 its reverse (1011414), we get a palindrome (4142112414).

The spelling of 4141101000 in words is "four billion, one hundred forty-one million, one hundred one thousand".