311431301010240 has 224 divisors, whose sum is σ = 1056223884032640. Its totient is φ = 77471440306176.

The previous prime is 311431301010211. The next prime is 311431301010253. The reversal of 311431301010240 is 42010103134113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 311431301010240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82593010 + ... + 86281329.

Almost surely, 2^{311431301010240} is an apocalyptic number.

311431301010240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311431301010240 is an abundant number, since it is smaller than the sum of its proper divisors (744792583022400).

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

311431301010240 is a wasteful number, since it uses less digits than its factorization.

311431301010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168874489 (or 168874479 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 311431301010240 its reverse (42010103134113), we get a palindrome (353441404144353).

The spelling of 311431301010240 in words is "three hundred eleven trillion, four hundred thirty-one billion, three hundred one million, ten thousand, two hundred forty".