31140221440 has 80 divisors (see below), whose sum is σ = 75096195768. Its totient is φ = 12383911936.

The previous prime is 31140221419. The next prime is 31140221443. The reversal of 31140221440 is 4412204113.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20814409984 + 10325811456 = 144272^2 + 101616^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (31140221443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 407724 + ... + 478036.

Almost surely, 2^31140221440 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 31140221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37548097884).

31140221440 is an abundant number, since it is smaller than the sum of its proper divisors (43955974328).

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

31140221440 is an equidigital number, since it uses as much as digits as its factorization.

31140221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70509 (or 70493 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 31140221440 its reverse (4412204113), we get a palindrome (35552425553).

It can be divided in two parts, 31140 and 221440, that multiplied together give a square (6895641600 = 83040²).

The spelling of 31140221440 in words is "thirty-one billion, one hundred forty million, two hundred twenty-one thousand, four hundred forty".