141411122160 has 1440 divisors, whose sum is σ = 608037083136. Its totient is φ = 26580787200.

The previous prime is 141411122159. The next prime is 141411122191. The reversal of 141411122160 is 61221114141.

It is a happy number.

141411122160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 141411122160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3008747257 + ... + 3008747303.

Almost surely, 2^141411122160 is an apocalyptic number.

141411122160 is a gapful number since it is divisible by the number (10) 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 141411122160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304018541568).

141411122160 is an abundant number, since it is smaller than the sum of its proper divisors (466625960976).

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

141411122160 is a wasteful number, since it uses less digits than its factorization.

141411122160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The spelling of 141411122160 in words is "one hundred forty-one billion, four hundred eleven million, one hundred twenty-two thousand, one hundred sixty".