331401532000 has 768 divisors, whose sum is σ = 1066971709440. Its totient is φ = 98150400000.

The previous prime is 331401531973. The next prime is 331401532001. The reversal of 331401532000 is 235104133.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331401532001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 582427716 + ... + 582428284.

It is an arithmetic number, because the mean of its divisors is an integer number (1389286080).

Almost surely, 2^331401532000 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 331401532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533485854720).

331401532000 is an abundant number, since it is smaller than the sum of its proper divisors (735570177440).

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

331401532000 is a wasteful number, since it uses less digits than its factorization.

331401532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 331401532000 its reverse (235104133), we get a palindrome (331636636133).

The spelling of 331401532000 in words is "three hundred thirty-one billion, four hundred one million, five hundred thirty-two thousand".