331142421044340 has 72 divisors (see below), whose sum is σ = 1004930160074568. Its totient is φ = 88263782645760.

The previous prime is 331142421044339. The next prime is 331142421044341. The reversal of 331142421044340 is 43440124241133.

331142421044340 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 4 + 2 + 4 + 210 + 4 + 434 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (331142421044339) and next prime (331142421044341).

It can be written as a sum of positive squares in 4 ways, for example, as 5448284232336 + 325694136812004 = 2334156^2 + 18046998^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 331142421044295 and 331142421044304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331142421044341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425265837 + ... + 426043796.

It is an arithmetic number, because the mean of its divisors is an integer number (13957363334369).

Almost surely, 2^{331142421044340} is an apocalyptic number.

331142421044340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331142421044340 is an abundant number, since it is smaller than the sum of its proper divisors (673787739030228).

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

331142421044340 is a wasteful number, since it uses less digits than its factorization.

331142421044340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851311809 (or 851311804 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 331142421044340 its reverse (43440124241133), we get a palindrome (374582545285473).

The spelling of 331142421044340 in words is "three hundred thirty-one trillion, one hundred forty-two billion, four hundred twenty-one million, forty-four thousand, three hundred forty".