331142413401 has 48 divisors (see below), whose sum is σ = 487896514560. Its totient is φ = 216384386400.

The previous prime is 331142413369. The next prime is 331142413411. The reversal of 331142413401 is 104314241133.

331142413401 is a `hidden beast` number, since 3 + 3 + 1 + 14 + 241 + 3 + 401 = 666.

It is not a de Polignac number, because 331142413401 - 2⁵ = 331142413369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (331142413411) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 136665076 + ... + 136667498.

It is an arithmetic number, because the mean of its divisors is an integer number (10164510720).

Almost surely, 2^331142413401 is an apocalyptic number.

It is an amenable number.

331142413401 is a deficient number, since it is larger than the sum of its proper divisors (156754101159).

331142413401 is a wasteful number, since it uses less digits than its factorization.

331142413401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3826 (or 3823 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 331142413401 its reverse (104314241133), we get a palindrome (435456654534).

The spelling of 331142413401 in words is "three hundred thirty-one billion, one hundred forty-two million, four hundred thirteen thousand, four hundred one".