10311400344240 has 480 divisors, whose sum is σ = 35687980823040. Its totient is φ = 2667095875584.

The previous prime is 10311400344233. The next prime is 10311400344241. The reversal of 10311400344240 is 4244300411301.

10311400344240 is a `hidden beast` number, since 1 + 0 + 3 + 11 + 400 + 3 + 4 + 4 + 240 = 666.

It is not an unprimeable number, because it can be changed into a prime (10311400344241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1089649749 + ... + 1089659211.

It is an arithmetic number, because the mean of its divisors is an integer number (74349960048).

Almost surely, 2^{10311400344240} is an apocalyptic number.

10311400344240 is a gapful number since it is divisible by the number (10) 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 10311400344240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17843990411520).

10311400344240 is an abundant number, since it is smaller than the sum of its proper divisors (25376580478800).

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

10311400344240 is a wasteful number, since it uses less digits than its factorization.

10311400344240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9881 (or 9872 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10311400344240 its reverse (4244300411301), we get a palindrome (14555700755541).

The spelling of 10311400344240 in words is "ten trillion, three hundred eleven billion, four hundred million, three hundred forty-four thousand, two hundred forty".