141415308840960 has 7488 divisors, whose sum is σ = 707824238045184. Its totient is φ = 25684239974400.

The previous prime is 141415308840947. The next prime is 141415308840973. The reversal of 141415308840960 is 69048803514141.

141415308840960 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 1 + 530 + 8 + 8 + 40 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (141415308840947) and next prime (141415308840973).

It is a junction number, because it is equal to n+sod(n) for n = 141415308840897 and 141415308840906.

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 575 ways as a sum of consecutive naturals, for example, 1937196011484 + ... + 1937196011556.

It is an arithmetic number, because the mean of its divisors is an integer number (94527809568).

Almost surely, 2^{141415308840960} is an apocalyptic number.

141415308840960 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 141415308840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353912119022592).

141415308840960 is an abundant number, since it is smaller than the sum of its proper divisors (566408929204224).

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

141415308840960 is a wasteful number, since it uses less digits than its factorization.

141415308840960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 141415308840960 in words is "one hundred forty-one trillion, four hundred fifteen billion, three hundred eight million, eight hundred forty thousand, nine hundred sixty".