311383941120 has 1792 divisors, whose sum is σ = 1396617984000. Its totient is φ = 64210599936.

The previous prime is 311383941079. The next prime is 311383941133. The reversal of 311383941120 is 21149383113.

It is a tau number, because it is divible by the number of its divisors (1792).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4265533404 + ... + 4265533476.

Almost surely, 2^311383941120 is an apocalyptic number.

311383941120 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 311383941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698308992000).

311383941120 is an abundant number, since it is smaller than the sum of its proper divisors (1085234042880).

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

311383941120 is a wasteful number, since it uses less digits than its factorization.

311383941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 311383941120 in words is "three hundred eleven billion, three hundred eighty-three million, nine hundred forty-one thousand, one hundred twenty".