130442040034340 has 48 divisors (see below), whose sum is σ = 274396615316208. Its totient is φ = 52087614173184.

The previous prime is 130442040034309. The next prime is 130442040034343. The reversal of 130442040034340 is 43430040244031.

It can be written as a sum of positive squares in 8 ways, for example, as 30523503436864 + 99918536597476 = 5524808^2 + 9995926^2 .

It is a junction number, because it is equal to n+sod(n) for n = 130442040034297 and 130442040034306.

It is not an unprimeable number, because it can be changed into a prime (130442040034343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 646186064 + ... + 646387896.

It is an arithmetic number, because the mean of its divisors is an integer number (5716596152421).

Almost surely, 2^{130442040034340} is an apocalyptic number.

130442040034340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130442040034340 is an abundant number, since it is smaller than the sum of its proper divisors (143954575281868).

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

130442040034340 is a wasteful number, since it uses less digits than its factorization.

130442040034340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256928 (or 256926 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 130442040034340 its reverse (43430040244031), we get a palindrome (173872080278371).

The spelling of 130442040034340 in words is "one hundred thirty trillion, four hundred forty-two billion, forty million, thirty-four thousand, three hundred forty".