410122242243144 has 128 divisors (see below), whose sum is σ = 1140293749392000. Its totient is φ = 136579622141952.

The previous prime is 410122242243143. The next prime is 410122242243227. The reversal of 410122242243144 is 441342242221014.

410122242243144 is a `hidden beast` number, since 4 + 1 + 0 + 1 + 222 + 422 + 4 + 3 + 1 + 4 + 4 = 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 = 410122242243099 and 410122242243108.

It is not an unprimeable number, because it can be changed into a prime (410122242243143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1371528912 + ... + 1371827904.

It is an arithmetic number, because the mean of its divisors is an integer number (8908544917125).

Almost surely, 2^{410122242243144} is an apocalyptic number.

It is an amenable number.

410122242243144 is an abundant number, since it is smaller than the sum of its proper divisors (730171507148856).

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

410122242243144 is a wasteful number, since it uses less digits than its factorization.

410122242243144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304924 (or 304914 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 410122242243144 its reverse (441342242221014), we get a palindrome (851464484464158).

The spelling of 410122242243144 in words is "four hundred ten trillion, one hundred twenty-two billion, two hundred forty-two million, two hundred forty-three thousand, one hundred forty-four".