31040400103040 has 64 divisors (see below), whose sum is σ = 74297683269000. Its totient is φ = 12400812294144.

The previous prime is 31040400103033. The next prime is 31040400103043. The reversal of 31040400103040 is 4030100404013.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 30730525294144 + 309874808896 = 5543512^2 + 556664^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (31040400103043) 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 7 ways as a sum of consecutive naturals, for example, 29457905 + ... + 30493424.

Almost surely, 2^{31040400103040} is an apocalyptic number.

It is an amenable number.

31040400103040 is an abundant number, since it is smaller than the sum of its proper divisors (43257283165960).

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

31040400103040 is an equidigital number, since it uses as much as digits as its factorization.

31040400103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59952157 (or 59952145 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 31040400103040 its reverse (4030100404013), we get a palindrome (35070500507053).

The spelling of 31040400103040 in words is "thirty-one trillion, forty billion, four hundred million, one hundred three thousand, forty".