4133505000 has 160 divisors (see below), whose sum is σ = 12978345600. Its totient is φ = 1096704000.

The previous prime is 4133504959. The next prime is 4133505011. The reversal of 4133505000 is 5053314.

4133505000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3584424 + ... + 3585576.

It is an arithmetic number, because the mean of its divisors is an integer number (81114660).

Almost surely, 2^4133505000 is an apocalyptic number.

4133505000 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 4133505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6489172800).

4133505000 is an abundant number, since it is smaller than the sum of its proper divisors (8844840600).

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

4133505000 is a wasteful number, since it uses less digits than its factorization.

4133505000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 4133505000 is about 64292.3401347314. The cubic root of 4133505000 is about 1604.8686337684.

Adding to 4133505000 its reverse (5053314), we get a palindrome (4138558314).

The spelling of 4133505000 in words is "four billion, one hundred thirty-three million, five hundred five thousand".