4133402440 has 64 divisors (see below), whose sum is σ = 9876006000. Its totient is φ = 1551556608.

The previous prime is 4133402431. The next prime is 4133402447. The reversal of 4133402440 is 442043314.

It can be written as a sum of positive squares in 8 ways, for example, as 3734920996 + 398481444 = 61114^2 + 19962^2 .

It is not an unprimeable number, because it can be changed into a prime (4133402447) by changing a digit.

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, 228612 + ... + 246028.

Almost surely, 2^4133402440 is an apocalyptic number.

4133402440 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 4133402440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4938003000).

4133402440 is an abundant number, since it is smaller than the sum of its proper divisors (5742603560).

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

4133402440 is a wasteful number, since it uses less digits than its factorization.

4133402440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17794 (or 17790 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 4133402440 is about 64291.5425231033. The cubic root of 4133402440 is about 1604.8553603931.

Adding to 4133402440 its reverse (442043314), we get a palindrome (4575445754).

The spelling of 4133402440 in words is "four billion, one hundred thirty-three million, four hundred two thousand, four hundred forty".