141409834442496 has 864 divisors, whose sum is σ = 438669859096000. Its totient is φ = 45483463802880.

The previous prime is 141409834442381. The next prime is 141409834442549. The reversal of 141409834442496 is 694244438904141.

141409834442496 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 0 + 9 + 83 + 44 + 424 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 91291047930 + ... + 91291049478.

Almost surely, 2^{141409834442496} is an apocalyptic number.

141409834442496 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 141409834442496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219334929548000).

141409834442496 is an abundant number, since it is smaller than the sum of its proper divisors (297260024653504).

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

141409834442496 is an frugal number, since it uses more digits than its factorization.

141409834442496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 141409834442496 in words is "one hundred forty-one trillion, four hundred nine billion, eight hundred thirty-four million, four hundred forty-two thousand, four hundred ninety-six".