4091315290000 has 225 divisors, whose sum is σ = 10050062195173. Its totient is φ = 1612981888000.

The previous prime is 4091315289959. The next prime is 4091315290031. The reversal of 4091315290000 is 925131904.

The square root of 4091315290000 is 2022700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 3999152044944 + 92163245056 = 1999788^2 + 303584^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 22856509911 + ... + 22856510089.

Almost surely, 2^{4091315290000} is an apocalyptic number.

4091315290000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4091315290000 is the 2022700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4091315290000

4091315290000 is an abundant number, since it is smaller than the sum of its proper divisors (5958746905173).

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

4091315290000 is an frugal number, since it uses more digits than its factorization.

4091315290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The spelling of 4091315290000 in words is "four trillion, ninety-one billion, three hundred fifteen million, two hundred ninety thousand".