3130431414440 has 128 divisors (see below), whose sum is σ = 7762248144000. Its totient is φ = 1126721664000.

The previous prime is 3130431414437. The next prime is 3130431414491. The reversal of 3130431414440 is 444141340313.

It is a junction number, because it is equal to n+sod(n) for n = 3130431414397 and 3130431414406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177262331 + ... + 177279989.

It is an arithmetic number, because the mean of its divisors is an integer number (60642563625).

Almost surely, 2^{3130431414440} 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 3130431414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3881124072000).

3130431414440 is an abundant number, since it is smaller than the sum of its proper divisors (4631816729560).

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

3130431414440 is a wasteful number, since it uses less digits than its factorization.

3130431414440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21771 (or 21767 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 3130431414440 its reverse (444141340313), we get a palindrome (3574572754753).

The spelling of 3130431414440 in words is "three trillion, one hundred thirty billion, four hundred thirty-one million, four hundred fourteen thousand, four hundred forty".