31024144254040 has 128 divisors (see below), whose sum is σ = 80794147737600. Its totient is φ = 10501172398080.

The previous prime is 31024144254029. The next prime is 31024144254041. The reversal of 31024144254040 is 4045244142013.

It is a junction number, because it is equal to n+sod(n) for n = 31024144253987 and 31024144254005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31024144254041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244296160 + ... + 244423120.

It is an arithmetic number, because the mean of its divisors is an integer number (631204279200).

Almost surely, 2^{31024144254040} 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 31024144254040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40397073868800).

31024144254040 is an abundant number, since it is smaller than the sum of its proper divisors (49770003483560).

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

31024144254040 is a wasteful number, since it uses less digits than its factorization.

31024144254040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138105 (or 138101 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 31024144254040 its reverse (4045244142013), we get a palindrome (35069388396053).

The spelling of 31024144254040 in words is "thirty-one trillion, twenty-four billion, one hundred forty-four million, two hundred fifty-four thousand, forty".