331142313400400 has 30 divisors (see below), whose sum is σ = 795569407945422. Its totient is φ = 132456925360000.

The previous prime is 331142313400387. The next prime is 331142313400403. The reversal of 331142313400400 is 4004313241133.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2251176153664 + 328891137246736 = 1500392^2 + 18135356^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331142313400403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 413927891351 + ... + 413927892150.

Almost surely, 2^{331142313400400} is an apocalyptic number.

It is an amenable number.

331142313400400 is an abundant number, since it is smaller than the sum of its proper divisors (464427094545022).

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

331142313400400 is a wasteful number, since it uses less digits than its factorization.

331142313400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827855783519 (or 827855783508 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 331142313400400 its reverse (4004313241133), we get a palindrome (335146626641533).

The spelling of 331142313400400 in words is "three hundred thirty-one trillion, one hundred forty-two billion, three hundred thirteen million, four hundred thousand, four hundred".