3133608040000 has 315 divisors, whose sum is σ = 7967413093717. Its totient is φ = 1222429312000.

The previous prime is 3133608039979. The next prime is 3133608040049. The reversal of 3133608040000 is 408063313.

The square root of 3133608040000 is 1770200.

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 1738790351424 + 1394817688576 = 1318632^2 + 1181024^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 18764119917 + ... + 18764120083.

Almost surely, 2^{3133608040000} is an apocalyptic number.

3133608040000 is the 1770200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3133608040000

3133608040000 is an abundant number, since it is smaller than the sum of its proper divisors (4833805053717).

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

3133608040000 is an frugal number, since it uses more digits than its factorization.

3133608040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 3133608040000 in words is "three trillion, one hundred thirty-three billion, six hundred eight million, forty thousand".