31344320005040 has 160 divisors (see below), whose sum is σ = 85544473089024. Its totient is φ = 10455300080640.

The previous prime is 31344320005013. The next prime is 31344320005079. The reversal of 31344320005040 is 4050002344313.

It is a junction number, because it is equal to n+sod(n) for n = 31344320004994 and 31344320005012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276907655 + ... + 277020825.

Almost surely, 2^{31344320005040} 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 31344320005040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42772236544512).

31344320005040 is an abundant number, since it is smaller than the sum of its proper divisors (54200153083984).

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

31344320005040 is a wasteful number, since it uses less digits than its factorization.

31344320005040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126595 (or 126589 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 31344320005040 its reverse (4050002344313), we get a palindrome (35394322349353).

The spelling of 31344320005040 in words is "thirty-one trillion, three hundred forty-four billion, three hundred twenty million, five thousand, forty".