141009803264000 has 960 divisors, whose sum is σ = 391191537889152. Its totient is φ = 50319065088000.

The previous prime is 141009803263997. The next prime is 141009803264021. The reversal of 141009803264000 is 462308900141.

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 63 ways as a sum of consecutive naturals, for example, 378042367814 + ... + 378042368186.

Almost surely, 2^{141009803264000} is an apocalyptic number.

141009803264000 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 141009803264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195595768944576).

141009803264000 is an abundant number, since it is smaller than the sum of its proper divisors (250181734625152).

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

141009803264000 is an equidigital number, since it uses as much as digits as its factorization.

141009803264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 141009803264000 in words is "one hundred forty-one trillion, nine billion, eight hundred three million, two hundred sixty-four thousand".