31125120225440 has 24 divisors (see below), whose sum is σ = 73533096532980. Its totient is φ = 12450048090112.

The previous prime is 31125120225379. The next prime is 31125120225509. The reversal of 31125120225440 is 4452202152113.

It can be written as a sum of positive squares in 2 ways, for example, as 31113325396624 + 11794828816 = 5577932^2 + 108604^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 31125120225397 and 31125120225406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 97266000545 + ... + 97266000864.

Almost surely, 2^{31125120225440} is an apocalyptic number.

It is an amenable number.

31125120225440 is an abundant number, since it is smaller than the sum of its proper divisors (42407976307540).

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

31125120225440 is a wasteful number, since it uses less digits than its factorization.

31125120225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194532001424 (or 194532001416 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 31125120225440 its reverse (4452202152113), we get a palindrome (35577322377553).

The spelling of 31125120225440 in words is "thirty-one trillion, one hundred twenty-five billion, one hundred twenty million, two hundred twenty-five thousand, four hundred forty".