130014444340 has 144 divisors (see below), whose sum is σ = 305740995840. Its totient is φ = 46397894400.

The previous prime is 130014444299. The next prime is 130014444379. The reversal of 130014444340 is 43444410031.

It is a happy number.

It is a super-3 number, since 3×130014444340³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130014444299 and 130014444308.

It is a congruent number.

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, 33072175 + ... + 33076105.

It is an arithmetic number, because the mean of its divisors is an integer number (2123201360).

Almost surely, 2^130014444340 is an apocalyptic number.

130014444340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130014444340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152870497920).

130014444340 is an abundant number, since it is smaller than the sum of its proper divisors (175726551500).

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

130014444340 is a wasteful number, since it uses less digits than its factorization.

130014444340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4214 (or 4201 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 130014444340 its reverse (43444410031), we get a palindrome (173458854371).

The spelling of 130014444340 in words is "one hundred thirty billion, fourteen million, four hundred forty-four thousand, three hundred forty".