3031441413000 has 1024 divisors, whose sum is σ = 13042677473280. Its totient is φ = 565719552000.

The previous prime is 3031441412981. The next prime is 3031441413071. The reversal of 3031441413000 is 3141441303.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 111097359 + ... + 111124641.

It is an arithmetic number, because the mean of its divisors is an integer number (12736989720).

Almost surely, 2^{3031441413000} is an apocalyptic number.

3031441413000 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 3031441413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6521338736640).

3031441413000 is an abundant number, since it is smaller than the sum of its proper divisors (10011236060280).

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

3031441413000 is a wasteful number, since it uses less digits than its factorization.

3031441413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27375 (or 27361 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 3031441413000 its reverse (3141441303), we get a palindrome (3034582854303).

The spelling of 3031441413000 in words is "three trillion, thirty-one billion, four hundred forty-one million, four hundred thirteen thousand".