130414214340410 has 64 divisors (see below), whose sum is σ = 315182884472064. Its totient is φ = 37521771955200.

The previous prime is 130414214340401. The next prime is 130414214340437. The reversal of 130414214340410 is 14043412414031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6514186511 + ... + 6514206530.

It is an arithmetic number, because the mean of its divisors is an integer number (4924732569876).

Almost surely, 2^{130414214340410} is an apocalyptic number.

130414214340410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130414214340410 is an abundant number, since it is smaller than the sum of its proper divisors (184768670131654).

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

130414214340410 is a wasteful number, since it uses less digits than its factorization.

130414214340410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13028393079.

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 130414214340410 its reverse (14043412414031), we get a palindrome (144457626754441).

The spelling of 130414214340410 in words is "one hundred thirty trillion, four hundred fourteen billion, two hundred fourteen million, three hundred forty thousand, four hundred ten".