41321424144000 has 2048 divisors, whose sum is σ = 184757292195840. Its totient is φ = 7889633280000.

The previous prime is 41321424143953. The next prime is 41321424144001. The reversal of 41321424144000 is 44142412314.

It is a happy number.

It is a super-2 number, since 2×41321424144000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (41321424144001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11195182155 + ... + 11195185845.

It is an arithmetic number, because the mean of its divisors is an integer number (90213521580).

Almost surely, 2^{41321424144000} is an apocalyptic number.

41321424144000 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 41321424144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92378646097920).

41321424144000 is an abundant number, since it is smaller than the sum of its proper divisors (143435868051840).

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

41321424144000 is a wasteful number, since it uses less digits than its factorization.

41321424144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3987 (or 3965 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 41321424144000 its reverse (44142412314), we get a palindrome (41365566556314).

The spelling of 41321424144000 in words is "forty-one trillion, three hundred twenty-one billion, four hundred twenty-four million, one hundred forty-four thousand".