41013121403424 has 192 divisors, whose sum is σ = 109069840051200. Its totient is φ = 13492943397888.

The previous prime is 41013121403413. The next prime is 41013121403491. The reversal of 41013121403424 is 42430412131014.

It is a happy number.

It is a super-2 number, since 2×41013121403424² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41013121403391 and 41013121403400.

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, 11523774957 + ... + 11523778515.

It is an arithmetic number, because the mean of its divisors is an integer number (568072083600).

Almost surely, 2^{41013121403424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41013121403424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54534920025600).

41013121403424 is an abundant number, since it is smaller than the sum of its proper divisors (68056718647776).

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

41013121403424 is a wasteful number, since it uses less digits than its factorization.

41013121403424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7535 (or 7527 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 41013121403424 its reverse (42430412131014), we get a palindrome (83443533534438).

The spelling of 41013121403424 in words is "forty-one trillion, thirteen billion, one hundred twenty-one million, four hundred three thousand, four hundred twenty-four".