31243071699840 has 1536 divisors, whose sum is σ = 136697145661440. Its totient is φ = 5966358773760.

The previous prime is 31243071699817. The next prime is 31243071699877. The reversal of 31243071699840 is 4899617034213.

It is a happy number.

It is a super-2 number, since 2×31243071699840² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3134646537 + ... + 3134656503.

It is an arithmetic number, because the mean of its divisors is an integer number (88995537540).

Almost surely, 2^{31243071699840} is an apocalyptic number.

31243071699840 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 31243071699840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68348572830720).

31243071699840 is an abundant number, since it is smaller than the sum of its proper divisors (105454073961600).

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

31243071699840 is a wasteful number, since it uses less digits than its factorization.

31243071699840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10260 (or 10241 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 31243071699840 in words is "thirty-one trillion, two hundred forty-three billion, seventy-one million, six hundred ninety-nine thousand, eight hundred forty".