130044155040 has 144 divisors (see below), whose sum is σ = 446603052168. Its totient is φ = 34457499648.

The previous prime is 130044155027. The next prime is 130044155057. The reversal of 130044155040 is 40551440031.

It is a happy number.

130044155040 is a `hidden beast` number, since 1 + 30 + 0 + 4 + 41 + 550 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 111601428624 + 18442726416 = 334068^2 + 135804^2 .

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

It is a super-2 number, since 2×130044155040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130044154995 and 130044155013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61527 + ... + 513686.

Almost surely, 2^130044155040 is an apocalyptic number.

130044155040 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 130044155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223301526084).

130044155040 is an abundant number, since it is smaller than the sum of its proper divisors (316558897128).

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

130044155040 is a wasteful number, since it uses less digits than its factorization.

130044155040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575391 (or 575380 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 130044155040 its reverse (40551440031), we get a palindrome (170595595071).

It can be divided in two parts, 1300441 and 55040, that added together give a triangular number (1355481 = T₁₆₄₆).

The spelling of 130044155040 in words is "one hundred thirty billion, forty-four million, one hundred fifty-five thousand, forty".