3130332144000 has 256 divisors, whose sum is σ = 10379656647360. Its totient is φ = 834545664000.

The previous prime is 3130332143999. The next prime is 3130332144013. The reversal of 3130332144000 is 4412330313.

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

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 31 ways as a sum of consecutive naturals, for example, 328363234 + ... + 328372766.

Almost surely, 2^{3130332144000} is an apocalyptic number.

3130332144000 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 3130332144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189828323680).

3130332144000 is an abundant number, since it is smaller than the sum of its proper divisors (7249324503360).

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

3130332144000 is an equidigital number, since it uses as much as digits as its factorization.

3130332144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16406 (or 16384 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 3130332144000 its reverse (4412330313), we get a palindrome (3134744474313).

The spelling of 3130332144000 in words is "three trillion, one hundred thirty billion, three hundred thirty-two million, one hundred forty-four thousand".