4133006640 has 640 divisors, whose sum is σ = 17098905600. Its totient is φ = 898007040.

The previous prime is 4133006623. The next prime is 4133006641. The reversal of 4133006640 is 466003314.

4133006640 is a `hidden beast` number, since 4 + 13 + 3 + 0 + 0 + 6 + 640 = 666.

4133006640 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 Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4133006641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36575224 + ... + 36575336.

It is an arithmetic number, because the mean of its divisors is an integer number (26717040).

Almost surely, 2^4133006640 is an apocalyptic number.

4133006640 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 4133006640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8549452800).

4133006640 is an abundant number, since it is smaller than the sum of its proper divisors (12965898960).

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

4133006640 is a wasteful number, since it uses less digits than its factorization.

4133006640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 4133006640 is about 64288.4642840378. The cubic root of 4133006640 is about 1604.8041336668.

Adding to 4133006640 its reverse (466003314), we get a palindrome (4599009954).

The spelling of 4133006640 in words is "four billion, one hundred thirty-three million, six thousand, six hundred forty".