141020596828800 has 2304 divisors, whose sum is σ = 585612518400000. Its totient is φ = 32017512038400.

The previous prime is 141020596828759. The next prime is 141020596828831. The reversal of 141020596828800 is 8828695020141.

141020596828800 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 20 + 596 + 8 + 28 + 8 + 0 + 0 = 666.

141020596828800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 70545570201 + ... + 70545572199.

It is an arithmetic number, because the mean of its divisors is an integer number (254172100000).

Almost surely, 2^{141020596828800} is an apocalyptic number.

141020596828800 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 141020596828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292806259200000).

141020596828800 is an abundant number, since it is smaller than the sum of its proper divisors (444591921571200).

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

141020596828800 is a wasteful number, since it uses less digits than its factorization.

141020596828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 141020596828800 in words is "one hundred forty-one trillion, twenty billion, five hundred ninety-six million, eight hundred twenty-eight thousand, eight hundred".