311411340240 has 480 divisors, whose sum is σ = 1305998577408. Its totient is φ = 59730739200.

The previous prime is 311411340211. The next prime is 311411340301. The reversal of 311411340240 is 42043114113.

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

It is a self number, because there is not a number n which added to its sum of digits gives 311411340240.

It is a congruent number.

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, 2583720 + ... + 2701560.

Almost surely, 2^311411340240 is an apocalyptic number.

311411340240 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 311411340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652999288704).

311411340240 is an abundant number, since it is smaller than the sum of its proper divisors (994587237168).

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

311411340240 is a wasteful number, since it uses less digits than its factorization.

311411340240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117899 (or 117882 counting only the distinct ones).

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

Adding to 311411340240 its reverse (42043114113), we get a palindrome (353454454353).

The spelling of 311411340240 in words is "three hundred eleven billion, four hundred eleven million, three hundred forty thousand, two hundred forty".