31314405242000 has 160 divisors (see below), whose sum is σ = 76029614269440. Its totient is φ = 12474353894400.

The previous prime is 31314405241997. The next prime is 31314405242041. The reversal of 31314405242000 is 24250441313.

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, 496494467 + ... + 496557533.

It is an arithmetic number, because the mean of its divisors is an integer number (475185089184).

Almost surely, 2^{31314405242000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31314405242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38014807134720).

31314405242000 is an abundant number, since it is smaller than the sum of its proper divisors (44715209027440).

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

31314405242000 is a wasteful number, since it uses less digits than its factorization.

31314405242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64106 (or 64090 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 31314405242000 its reverse (24250441313), we get a palindrome (31338655683313).

The spelling of 31314405242000 in words is "thirty-one trillion, three hundred fourteen billion, four hundred five million, two hundred forty-two thousand".