31135144040 has 384 divisors, whose sum is σ = 95496468480. Its totient is φ = 8889661440.

The previous prime is 31135143997. The next prime is 31135144043. The reversal of 31135144040 is 4044153113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (31135144043) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 98217962 + ... + 98218278.

It is an arithmetic number, because the mean of its divisors is an integer number (248688720).

Almost surely, 2^31135144040 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 31135144040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47748234240).

31135144040 is an abundant number, since it is smaller than the sum of its proper divisors (64361324440).

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

31135144040 is a wasteful number, since it uses less digits than its factorization.

31135144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 31135144040 its reverse (4044153113), we get a palindrome (35179297153).

The spelling of 31135144040 in words is "thirty-one billion, one hundred thirty-five million, one hundred forty-four thousand, forty".