31424411431300 has 144 divisors (see below), whose sum is σ = 70243654118400. Its totient is φ = 12194852992000.

The previous prime is 31424411431213. The next prime is 31424411431381. The reversal of 31424411431300 is 313411442413.

It is a super-2 number, since 2×31424411431300² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3405697287 + ... + 3405706513.

It is an arithmetic number, because the mean of its divisors is an integer number (487803153600).

Almost surely, 2^{31424411431300} 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 31424411431300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35121827059200).

31424411431300 is an abundant number, since it is smaller than the sum of its proper divisors (38819242687100).

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

31424411431300 is a wasteful number, since it uses less digits than its factorization.

31424411431300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13822 (or 13815 counting only the distinct ones).

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

Adding to 31424411431300 its reverse (313411442413), we get a palindrome (31737822873713).

The spelling of 31424411431300 in words is "thirty-one trillion, four hundred twenty-four billion, four hundred eleven million, four hundred thirty-one thousand, three hundred".