4133330040 has 64 divisors (see below), whose sum is σ = 14171420160. Its totient is φ = 944760960.

The previous prime is 4133330017. The next prime is 4133330057. The reversal of 4133330040 is 400333314.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 4133329989 and 4133330016.

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 15 ways as a sum of consecutive naturals, for example, 2459476 + ... + 2461155.

It is an arithmetic number, because the mean of its divisors is an integer number (221428440).

Almost surely, 2^4133330040 is an apocalyptic number.

4133330040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4133330040 is an abundant number, since it is smaller than the sum of its proper divisors (10038090120).

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

4133330040 is a wasteful number, since it uses less digits than its factorization.

4133330040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4920652 (or 4920648 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 4133330040 is about 64290.9794605744. The cubic root of 4133330040 is about 1604.8459902106.

Adding to 4133330040 its reverse (400333314), we get a palindrome (4533663354).

The spelling of 4133330040 in words is "four billion, one hundred thirty-three million, three hundred thirty thousand, forty".