4033125440 has 224 divisors, whose sum is σ = 10674339840. Its totient is φ = 1444608000.

The previous prime is 4033125419. The next prime is 4033125443. The reversal of 4033125440 is 445213304.

It is a super-2 number, since 2×4033125440² = 32532201629550387200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4033125443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21115745 + ... + 21115935.

Almost surely, 2^4033125440 is an apocalyptic number.

4033125440 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 4033125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5337169920).

4033125440 is an abundant number, since it is smaller than the sum of its proper divisors (6641214400).

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

4033125440 is a wasteful number, since it uses less digits than its factorization.

4033125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 4033125440 is about 63506.8928542406. The cubic root of 4033125440 is about 1591.7709576806.

Adding to 4033125440 its reverse (445213304), we get a palindrome (4478338744).

The spelling of 4033125440 in words is "four billion, thirty-three million, one hundred twenty-five thousand, four hundred forty".