31040433040 has 80 divisors (see below), whose sum is σ = 74703455280. Its totient is φ = 11980666880.

The previous prime is 31040433037. The next prime is 31040433077. The reversal of 31040433040 is 4033404013.

It can be written as a sum of positive squares in 8 ways, for example, as 1362791056 + 29677641984 = 36916^2 + 172272^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5186850 + ... + 5192830.

It is an arithmetic number, because the mean of its divisors is an integer number (933793191).

Almost surely, 2^31040433040 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 31040433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37351727640).

31040433040 is an abundant number, since it is smaller than the sum of its proper divisors (43663022240).

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

31040433040 is a wasteful number, since it uses less digits than its factorization.

31040433040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8260 (or 8254 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 31040433040 its reverse (4033404013), we get a palindrome (35073837053).

The spelling of 31040433040 in words is "thirty-one billion, forty million, four hundred thirty-three thousand, forty".