31240334042240 has 256 divisors, whose sum is σ = 77555227438080. Its totient is φ = 12020736000000.

The previous prime is 31240334042227. The next prime is 31240334042251. The reversal of 31240334042240 is 4224043304213.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 31240334042197 and 31240334042206.

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, 2594490620 + ... + 2594502660.

It is an arithmetic number, because the mean of its divisors is an integer number (302950107180).

Almost surely, 2^{31240334042240} 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 31240334042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38777613719040).

31240334042240 is an abundant number, since it is smaller than the sum of its proper divisors (46314893395840).

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

31240334042240 is a wasteful number, since it uses less digits than its factorization.

31240334042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12863 (or 12851 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 31240334042240 its reverse (4224043304213), we get a palindrome (35464377346453).

The spelling of 31240334042240 in words is "thirty-one trillion, two hundred forty billion, three hundred thirty-four million, forty-two thousand, two hundred forty".