31314244400334 has 128 divisors (see below), whose sum is σ = 82300796236800. Its totient is φ = 8635240897920.

The previous prime is 31314244400321. The next prime is 31314244400353. The reversal of 31314244400334 is 43300444241313.

31314244400334 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 4 + 244 + 400 + 3 + 3 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29414224 + ... + 30460220.

It is an arithmetic number, because the mean of its divisors is an integer number (642974970600).

Almost surely, 2^{31314244400334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31314244400334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41150398118400).

31314244400334 is an abundant number, since it is smaller than the sum of its proper divisors (50986551836466).

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

31314244400334 is a wasteful number, since it uses less digits than its factorization.

31314244400334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048775 (or 1048769 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 31314244400334 its reverse (43300444241313), we get a palindrome (74614688641647).

The spelling of 31314244400334 in words is "thirty-one trillion, three hundred fourteen billion, two hundred forty-four million, four hundred thousand, three hundred thirty-four".