311432240000000 has 1056 divisors, whose sum is σ = 922946758344000. Its totient is φ = 104692224000000.

The previous prime is 311432239999939. The next prime is 311432240000041. The reversal of 311432240000000 is 42234113.

It is a super-2 number, since 2×311432240000000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 207759999251 + ... + 207760000749.

Almost surely, 2^{311432240000000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311432240000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461473379172000).

311432240000000 is an abundant number, since it is smaller than the sum of its proper divisors (611514518344000).

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

311432240000000 is an frugal number, since it uses more digits than its factorization.

311432240000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 311432240000000 its reverse (42234113), we get a palindrome (311432282234113).

The spelling of 311432240000000 in words is "three hundred eleven trillion, four hundred thirty-two billion, two hundred forty million", and thus it is an aban number.