311128981240 has 256 divisors, whose sum is σ = 903876019200. Its totient is φ = 93527347200.

The previous prime is 311128981199. The next prime is 311128981249. The reversal of 311128981240 is 42189821113.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 311128981193 and 311128981202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311128981249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127458420 + ... + 127460860.

It is an arithmetic number, because the mean of its divisors is an integer number (3530765700).

Almost surely, 2^311128981240 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 311128981240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451938009600).

311128981240 is an abundant number, since it is smaller than the sum of its proper divisors (592747037960).

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

311128981240 is a wasteful number, since it uses less digits than its factorization.

311128981240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3926 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 40.

The spelling of 311128981240 in words is "three hundred eleven billion, one hundred twenty-eight million, nine hundred eighty-one thousand, two hundred forty".