41122153434240 has 768 divisors, whose sum is σ = 150812459366400. Its totient is φ = 10296115200000.

The previous prime is 41122153434217. The next prime is 41122153434317. The reversal of 41122153434240 is 4243435122114.

41122153434240 is a `hidden beast` number, since 4 + 1 + 1 + 2 + 215 + 3 + 434 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41122153434195 and 41122153434204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5873750740 + ... + 5873757740.

It is an arithmetic number, because the mean of its divisors is an integer number (196370389800).

Almost surely, 2^{41122153434240} is an apocalyptic number.

41122153434240 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 41122153434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75406229683200).

41122153434240 is an abundant number, since it is smaller than the sum of its proper divisors (109690305932160).

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

41122153434240 is a wasteful number, since it uses less digits than its factorization.

41122153434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7517 (or 7502 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 41122153434240 its reverse (4243435122114), we get a palindrome (45365588556354).

The spelling of 41122153434240 in words is "forty-one trillion, one hundred twenty-two billion, one hundred fifty-three million, four hundred thirty-four thousand, two hundred forty".