4133414040 has 128 divisors (see below), whose sum is σ = 14239480320. Its totient is φ = 940262400.

The previous prime is 4133413987. The next prime is 4133414059. The reversal of 4133414040 is 404143314.

It is a super-2 number, since 2×4133414040² = 34170223252138243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4133414040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165580 + ... + 188900.

It is an arithmetic number, because the mean of its divisors is an integer number (111245940).

Almost surely, 2^4133414040 is an apocalyptic number.

4133414040 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 4133414040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7119740160).

4133414040 is an abundant number, since it is smaller than the sum of its proper divisors (10106066280).

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

4133414040 is a wasteful number, since it uses less digits than its factorization.

4133414040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23553 (or 23549 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4133414040 is about 64291.6327370833. The cubic root of 4133414040 is about 1604.8568616829.

Adding to 4133414040 its reverse (404143314), we get a palindrome (4537557354).

The spelling of 4133414040 in words is "four billion, one hundred thirty-three million, four hundred fourteen thousand, forty".