141601352224400 has 120 divisors (see below), whose sum is σ = 341125266198720. Its totient is φ = 56486059015680.

The previous prime is 141601352224379. The next prime is 141601352224417. The reversal of 141601352224400 is 4422253106141.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2026402262 + ... + 2026472138.

It is an arithmetic number, because the mean of its divisors is an integer number (2842710551656).

Almost surely, 2^{141601352224400} is an apocalyptic number.

141601352224400 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 141601352224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170562633099360).

141601352224400 is an abundant number, since it is smaller than the sum of its proper divisors (199523913974320).

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

141601352224400 is a wasteful number, since it uses less digits than its factorization.

141601352224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83641 (or 83630 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 141601352224400 in words is "one hundred forty-one trillion, six hundred one billion, three hundred fifty-two million, two hundred twenty-four thousand, four hundred".