3135441000000 has 392 divisors, whose sum is σ = 10415454180480. Its totient is φ = 832428800000.

The previous prime is 3135440999983. The next prime is 3135441000047. The reversal of 3135441000000 is 1445313.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 716997814 + ... + 717002186.

Almost surely, 2^{3135441000000} is an apocalyptic number.

3135441000000 is a gapful number since it is divisible by the number (30) 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 3135441000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5207727090240).

3135441000000 is an abundant number, since it is smaller than the sum of its proper divisors (7280013180480).

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

3135441000000 is an frugal number, since it uses more digits than its factorization.

3135441000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4657 (or 4622 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 3135441000000 its reverse (1445313), we get a palindrome (3135442445313).

The spelling of 3135441000000 in words is "three trillion, one hundred thirty-five billion, four hundred forty-one million", and thus it is an aban number.