141409344096000 has 1728 divisors, whose sum is σ = 550222841226240. Its totient is φ = 34784160153600.

The previous prime is 141409344095917. The next prime is 141409344096001. The reversal of 141409344096000 is 690443904141.

141409344096000 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 0 + 9 + 34 + 4 + 0 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141409344096001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20713244587 + ... + 20713251413.

It is an arithmetic number, because the mean of its divisors is an integer number (318415996080).

Almost surely, 2^{141409344096000} is an apocalyptic number.

141409344096000 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 141409344096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275111420613120).

141409344096000 is an abundant number, since it is smaller than the sum of its proper divisors (408813497130240).

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

141409344096000 is a wasteful number, since it uses less digits than its factorization.

141409344096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6999 (or 6972 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 141409344096000 in words is "one hundred forty-one trillion, four hundred nine billion, three hundred forty-four million, ninety-six thousand".