331434243040 has 144 divisors (see below), whose sum is σ = 819460103616. Its totient is φ = 126666777600.

The previous prime is 331434243001. The next prime is 331434243131. The reversal of 331434243040 is 40342434133.

It is a junction number, because it is equal to n+sod(n) for n = 331434242993 and 331434243011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104190250 + ... + 104193430.

It is an arithmetic number, because the mean of its divisors is an integer number (5690695164).

Almost surely, 2^331434243040 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 331434243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409730051808).

331434243040 is an abundant number, since it is smaller than the sum of its proper divisors (488025860576).

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

331434243040 is a wasteful number, since it uses less digits than its factorization.

331434243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4473 (or 4442 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 331434243040 its reverse (40342434133), we get a palindrome (371776677173).

The spelling of 331434243040 in words is "three hundred thirty-one billion, four hundred thirty-four million, two hundred forty-three thousand, forty".