141410820096 has 504 divisors, whose sum is σ = 511911212904. Its totient is φ = 37282775040.

The previous prime is 141410820077. The next prime is 141410820097. The reversal of 141410820096 is 690028014141.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a self number, because there is not a number n which added to its sum of digits gives 141410820096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141410820097) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46963231 + ... + 46966241.

It is an arithmetic number, because the mean of its divisors is an integer number (1015696851).

Almost surely, 2^141410820096 is an apocalyptic number.

141410820096 is a gapful number since it is divisible by the number (16) 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 141410820096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255955606452).

141410820096 is an abundant number, since it is smaller than the sum of its proper divisors (370500392808).

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

141410820096 is a wasteful number, since it uses less digits than its factorization.

141410820096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 141410820096 in words is "one hundred forty-one billion, four hundred ten million, eight hundred twenty thousand, ninety-six".