311438400000 has 1920 divisors, whose sum is σ = 1374824005632. Its totient is φ = 60825600000.

The previous prime is 311438399989. The next prime is 311438400029. The reversal of 311438400000 is 4834113.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10046399985 + ... + 10046400015.

Almost surely, 2^311438400000 is an apocalyptic number.

311438400000 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 311438400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687412002816).

311438400000 is an abundant number, since it is smaller than the sum of its proper divisors (1063385605632).

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

311438400000 is an equidigital number, since it uses as much as digits as its factorization.

311438400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 311438400000 in words is "three hundred eleven billion, four hundred thirty-eight million, four hundred thousand".