31134341214400 has 168 divisors, whose sum is σ = 80647639649280. Its totient is φ = 11797457495040.

The previous prime is 31134341214373. The next prime is 31134341214407. The reversal of 31134341214400 is 441214343113.

It is not an unprimeable number, because it can be changed into a prime (31134341214407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 609889677 + ... + 609940723.

Almost surely, 2^{31134341214400} 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 31134341214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40323819824640).

31134341214400 is an abundant number, since it is smaller than the sum of its proper divisors (49513298434880).

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

31134341214400 is a wasteful number, since it uses less digits than its factorization.

31134341214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71151 (or 71136 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 31134341214400 its reverse (441214343113), we get a palindrome (31575555557513).

The spelling of 31134341214400 in words is "thirty-one trillion, one hundred thirty-four billion, three hundred forty-one million, two hundred fourteen thousand, four hundred".