130431440040440 has 128 divisors (see below), whose sum is σ = 369508228600320. Its totient is φ = 40251440832000.

The previous prime is 130431440040413. The next prime is 130431440040449. The reversal of 130431440040440 is 44040044134031.

It is a junction number, because it is equal to n+sod(n) for n = 130431440040397 and 130431440040406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130431440040449) 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, 209331842 + ... + 209954001.

It is an arithmetic number, because the mean of its divisors is an integer number (2886783035940).

Almost surely, 2^{130431440040440} is an apocalyptic number.

130431440040440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130431440040440 is an abundant number, since it is smaller than the sum of its proper divisors (239076788559880).

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

130431440040440 is a wasteful number, since it uses less digits than its factorization.

130431440040440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419285973 (or 419285969 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 130431440040440 its reverse (44040044134031), we get a palindrome (174471484174471).

The spelling of 130431440040440 in words is "one hundred thirty trillion, four hundred thirty-one billion, four hundred forty million, forty thousand, four hundred forty".