31603113738240 has 960 divisors, whose sum is σ = 111930947960832. Its totient is φ = 7550481203200.

The previous prime is 31603113738233. The next prime is 31603113738241. The reversal of 31603113738240 is 4283731130613.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 31603113738192 and 31603113738201.

It is not an unprimeable number, because it can be changed into a prime (31603113738241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82514657089 + ... + 82514657471.

Almost surely, 2^{31603113738240} is an apocalyptic number.

31603113738240 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 31603113738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55965473980416).

31603113738240 is an abundant number, since it is smaller than the sum of its proper divisors (80327834222592).

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

31603113738240 is a wasteful number, since it uses less digits than its factorization.

31603113738240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

Adding to 31603113738240 its reverse (4283731130613), we get a palindrome (35886844868853).

The spelling of 31603113738240 in words is "thirty-one trillion, six hundred three billion, one hundred thirteen million, seven hundred thirty-eight thousand, two hundred forty".