4041321324040 has 256 divisors, whose sum is σ = 12239241315840. Its totient is φ = 1159833600000.

The previous prime is 4041321323999. The next prime is 4041321324041. The reversal of 4041321324040 is 404231231404.

It is a super-4 number, since 4×4041321324040⁴ (a number of 52 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (4041321324041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15930190 + ... + 16181890.

It is an arithmetic number, because the mean of its divisors is an integer number (47809536390).

Almost surely, 2^{4041321324040} is an apocalyptic number.

4041321324040 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 4041321324040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6119620657920).

4041321324040 is an abundant number, since it is smaller than the sum of its proper divisors (8197919991800).

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

4041321324040 is a wasteful number, since it uses less digits than its factorization.

4041321324040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252144 (or 252140 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4041321324040 its reverse (404231231404), we get a palindrome (4445552555444).

The spelling of 4041321324040 in words is "four trillion, forty-one billion, three hundred twenty-one million, three hundred twenty-four thousand, forty".