41340433022240 has 288 divisors, whose sum is σ = 107454608335872. Its totient is φ = 14905658880000.

The previous prime is 41340433022227. The next prime is 41340433022257. The reversal of 41340433022240 is 4222033404314.

It is a super-2 number, since 2×41340433022240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 41340433022197 and 41340433022206.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28103624705 + ... + 28103626175.

It is an arithmetic number, because the mean of its divisors is an integer number (373106278944).

Almost surely, 2^{41340433022240} is an apocalyptic number.

41340433022240 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 41340433022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53727304167936).

41340433022240 is an abundant number, since it is smaller than the sum of its proper divisors (66114175313632).

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

41340433022240 is a wasteful number, since it uses less digits than its factorization.

41340433022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 41340433022240 its reverse (4222033404314), we get a palindrome (45562466426554).

The spelling of 41340433022240 in words is "forty-one trillion, three hundred forty billion, four hundred thirty-three million, twenty-two thousand, two hundred forty".