130726041120 has 144 divisors (see below), whose sum is σ = 446692565592. Its totient is φ = 34814177280.

The previous prime is 130726041119. The next prime is 130726041179. The reversal of 130726041120 is 21140627031.

130726041120 is a `hidden beast` number, since 1 + 30 + 7 + 2 + 604 + 1 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32534058384 + 98191982736 = 180372^2 + 313356^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×130726041120³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1036194 + ... + 1155486.

Almost surely, 2^130726041120 is an apocalyptic number.

130726041120 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 130726041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223346282796).

130726041120 is an abundant number, since it is smaller than the sum of its proper divisors (315966524472).

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

130726041120 is a wasteful number, since it uses less digits than its factorization.

130726041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120075 (or 120064 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 130726041120 its reverse (21140627031), we get a palindrome (151866668151).

The spelling of 130726041120 in words is "one hundred thirty billion, seven hundred twenty-six million, forty-one thousand, one hundred twenty".