31144004214024 has 192 divisors, whose sum is σ = 86729724345600. Its totient is φ = 9263404781568.

The previous prime is 31144004214017. The next prime is 31144004214031. The reversal of 31144004214024 is 42041240044113.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31144004214017) and next prime (31144004214031).

It is a junction number, because it is equal to n+sod(n) for n = 31144004213982 and 31144004214000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55679857 + ... + 56236415.

It is an arithmetic number, because the mean of its divisors is an integer number (451717314300).

Almost surely, 2^{31144004214024} 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 31144004214024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43364862172800).

31144004214024 is an abundant number, since it is smaller than the sum of its proper divisors (55585720131576).

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

31144004214024 is a wasteful number, since it uses less digits than its factorization.

31144004214024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556764 (or 556717 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 31144004214024 its reverse (42041240044113), we get a palindrome (73185244258137).

The spelling of 31144004214024 in words is "thirty-one trillion, one hundred forty-four billion, four million, two hundred fourteen thousand, twenty-four".