41214120144120 has 192 divisors, whose sum is σ = 166997473943040. Its totient is φ = 8563973011200.

The previous prime is 41214120144083. The next prime is 41214120144139. The reversal of 41214120144120 is 2144102141214.

41214120144120 is a `hidden beast` number, since 4 + 1 + 2 + 1 + 41 + 201 + 4 + 412 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 743372716 + ... + 743428155.

It is an arithmetic number, because the mean of its divisors is an integer number (869778510120).

Almost surely, 2^{41214120144120} is an apocalyptic number.

41214120144120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41214120144120 is an abundant number, since it is smaller than the sum of its proper divisors (125783353798920).

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

41214120144120 is a wasteful number, since it uses less digits than its factorization.

41214120144120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486800906 (or 1486800899 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 41214120144120 its reverse (2144102141214), we get a palindrome (43358222285334).

The spelling of 41214120144120 in words is "forty-one trillion, two hundred fourteen billion, one hundred twenty million, one hundred forty-four thousand, one hundred twenty".