312142441330440 has 384 divisors, whose sum is σ = 1196704566720000. Its totient is φ = 69069709615104.

The previous prime is 312142441330351. The next prime is 312142441330451. The reversal of 312142441330440 is 44033144241213.

312142441330440 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 42 + 44 + 133 + 0 + 440 = 666.

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 = 312142441330395 and 312142441330404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10143376 + ... + 26966144.

It is an arithmetic number, because the mean of its divisors is an integer number (3116418142500).

Almost surely, 2^{312142441330440} is an apocalyptic number.

312142441330440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312142441330440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598352283360000).

312142441330440 is an abundant number, since it is smaller than the sum of its proper divisors (884562125389560).

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

312142441330440 is a wasteful number, since it uses less digits than its factorization.

312142441330440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16823029 (or 16823022 counting only the distinct ones).

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

Adding to 312142441330440 its reverse (44033144241213), we get a palindrome (356175585571653).

The spelling of 312142441330440 in words is "three hundred twelve trillion, one hundred forty-two billion, four hundred forty-one million, three hundred thirty thousand, four hundred forty".