31043332144000 has 768 divisors, whose sum is σ = 87355619769600. Its totient is φ = 10957799424000.

The previous prime is 31043332143983. The next prime is 31043332144063. The reversal of 31043332144000 is 44123334013.

It is a self number, because there is not a number n which added to its sum of digits gives 31043332144000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9952974441 + ... + 9952977559.

It is an arithmetic number, because the mean of its divisors is an integer number (113744296575).

Almost surely, 2^{31043332144000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31043332144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43677809884800).

31043332144000 is an abundant number, since it is smaller than the sum of its proper divisors (56312287625600).

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

31043332144000 is a wasteful number, since it uses less digits than its factorization.

31043332144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3320 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 31043332144000 its reverse (44123334013), we get a palindrome (31087455478013).

The spelling of 31043332144000 in words is "thirty-one trillion, forty-three billion, three hundred thirty-two million, one hundred forty-four thousand".