4141033040 has 80 divisors (see below), whose sum is σ = 9785708496. Its totient is φ = 1629388800.

The previous prime is 4141033031. The next prime is 4141033051. The reversal of 4141033040 is 403301414.

It is a happy number.

4141033040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 428324416 + 3712708624 = 20696^2 + 60932^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3041960 + ... + 3043320.

Almost surely, 2^4141033040 is an apocalyptic number.

4141033040 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 4141033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4892854248).

4141033040 is an abundant number, since it is smaller than the sum of its proper divisors (5644675456).

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

4141033040 is a wasteful number, since it uses less digits than its factorization.

4141033040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4141033040 is about 64350.8588909270. The cubic root of 4141033040 is about 1605.8423181918.

Adding to 4141033040 its reverse (403301414), we get a palindrome (4544334454).

The spelling of 4141033040 in words is "four billion, one hundred forty-one million, thirty-three thousand, forty".