4133384640 has 1120 divisors, whose sum is σ = 19473062400. Its totient is φ = 806215680.

The previous prime is 4133384627. The next prime is 4133384707. The reversal of 4133384640 is 464833314.

It is a happy number.

4133384640 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 3 + 8 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4133384595 and 4133384604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 37920906 + ... + 37921014.

Almost surely, 2^4133384640 is an apocalyptic number.

4133384640 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 4133384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9736531200).

4133384640 is an abundant number, since it is smaller than the sum of its proper divisors (15339677760).

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

4133384640 is a wasteful number, since it uses less digits than its factorization.

4133384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4133384640 is about 64291.4040910603. The cubic root of 4133384640 is about 1604.8530566844.

The spelling of 4133384640 in words is "four billion, one hundred thirty-three million, three hundred eighty-four thousand, six hundred forty".