311424444540 has 216 divisors, whose sum is σ = 1045226311584. Its totient is φ = 74996064000.

The previous prime is 311424444533. The next prime is 311424444553. The reversal of 311424444540 is 45444424113.

311424444540 is a `hidden beast` number, since 31 + 1 + 4 + 2 + 44 + 44 + 540 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 311424444495 and 311424444504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3241434 + ... + 3336126.

Almost surely, 2^311424444540 is an apocalyptic number.

311424444540 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 311424444540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522613155792).

311424444540 is an abundant number, since it is smaller than the sum of its proper divisors (733801867044).

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

311424444540 is a wasteful number, since it uses less digits than its factorization.

311424444540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94881 (or 94865 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 311424444540 its reverse (45444424113), we get a palindrome (356868868653).

The spelling of 311424444540 in words is "three hundred eleven billion, four hundred twenty-four million, four hundred forty-four thousand, five hundred forty".