31314214140 has 192 divisors, whose sum is σ = 99245260800. Its totient is φ = 7308576000.

The previous prime is 31314214121. The next prime is 31314214147. The reversal of 31314214140 is 4141241313.

It is a self number, because there is not a number n which added to its sum of digits gives 31314214140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31314214147) 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, 4067695 + ... + 4075385.

It is an arithmetic number, because the mean of its divisors is an integer number (516902400).

Almost surely, 2^31314214140 is an apocalyptic number.

31314214140 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 31314214140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49622630400).

31314214140 is an abundant number, since it is smaller than the sum of its proper divisors (67931046660).

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

31314214140 is a wasteful number, since it uses less digits than its factorization.

31314214140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7944 (or 7942 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 31314214140 its reverse (4141241313), we get a palindrome (35455455453).

The spelling of 31314214140 in words is "thirty-one billion, three hundred fourteen million, two hundred fourteen thousand, one hundred forty".