31340323440 has 160 divisors (see below), whose sum is σ = 108021211200. Its totient is φ = 8351907840.

The previous prime is 31340323381. The next prime is 31340323451. The reversal of 31340323440 is 4432304313.

31340323440 is a `hidden beast` number, since 313 + 4 + 0 + 3 + 2 + 344 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 4076400 + ... + 4084080.

It is an arithmetic number, because the mean of its divisors is an integer number (675132570).

Almost surely, 2^31340323440 is an apocalyptic number.

31340323440 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 31340323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54010605600).

31340323440 is an abundant number, since it is smaller than the sum of its proper divisors (76680887760).

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

31340323440 is a wasteful number, since it uses less digits than its factorization.

31340323440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9592 (or 9580 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 31340323440 its reverse (4432304313), we get a palindrome (35772627753).

The spelling of 31340323440 in words is "thirty-one billion, three hundred forty million, three hundred twenty-three thousand, four hundred forty".