31011341040 has 240 divisors, whose sum is σ = 109273172736. Its totient is φ = 7871385600.

The previous prime is 31011341029. The next prime is 31011341087. The reversal of 31011341040 is 4014311013.

31011341040 is a `hidden beast` number, since 310 + 11 + 341 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1350132 + ... + 1372908.

Almost surely, 2^31011341040 is an apocalyptic number.

31011341040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31011341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54636586368).

31011341040 is an abundant number, since it is smaller than the sum of its proper divisors (78261831696).

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

31011341040 is a wasteful number, since it uses less digits than its factorization.

31011341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22888 (or 22879 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31011341040 its reverse (4014311013), we get a palindrome (35025652053).

It can be divided in two parts, 310113 and 41040, that added together give a palindrome (351153).

The spelling of 31011341040 in words is "thirty-one billion, eleven million, three hundred forty-one thousand, forty".