41121541144040 has 256 divisors, whose sum is σ = 113718872678400. Its totient is φ = 13067499073536.

The previous prime is 41121541144009. The next prime is 41121541144043. The reversal of 41121541144040 is 4044114512114.

It is a super-2 number, since 2×41121541144040² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41121541143988 and 41121541144006.

It is not an unprimeable number, because it can be changed into a prime (41121541144043) 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, 670826672 + ... + 670887968.

It is an arithmetic number, because the mean of its divisors is an integer number (444214346400).

Almost surely, 2^{41121541144040} is an apocalyptic number.

41121541144040 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 41121541144040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56859436339200).

41121541144040 is an abundant number, since it is smaller than the sum of its proper divisors (72597331534360).

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

41121541144040 is a wasteful number, since it uses less digits than its factorization.

41121541144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64064 (or 64060 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

Adding to 41121541144040 its reverse (4044114512114), we get a palindrome (45165655656154).

The spelling of 41121541144040 in words is "forty-one trillion, one hundred twenty-one billion, five hundred forty-one million, one hundred forty-four thousand, forty".