4134411000 has 192 divisors, whose sum is σ = 14582617920. Its totient is φ = 1054521600.

The previous prime is 4134410993. The next prime is 4134411041. The reversal of 4134411000 is 1144314.

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

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 47 ways as a sum of consecutive naturals, for example, 197014 + ... + 216986.

It is an arithmetic number, because the mean of its divisors is an integer number (75951135).

Almost surely, 2^4134411000 is an apocalyptic number.

4134411000 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 4134411000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7291308960).

4134411000 is an abundant number, since it is smaller than the sum of its proper divisors (10448206920).

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

4134411000 is a wasteful number, since it uses less digits than its factorization.

4134411000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20023 (or 20006 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4134411000 is about 64299.3856891339. The cubic root of 4134411000 is about 1604.9858792830.

Adding to 4134411000 its reverse (1144314), we get a palindrome (4135555314).

The spelling of 4134411000 in words is "four billion, one hundred thirty-four million, four hundred eleven thousand".