130305533245440 has 2304 divisors, whose sum is σ = 509964472442880. Its totient is φ = 27812619878400.

The previous prime is 130305533245429. The next prime is 130305533245483. The reversal of 130305533245440 is 44542335503031.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 130305533245392 and 130305533245401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1217808721867 + ... + 1217808721973.

It is an arithmetic number, because the mean of its divisors is an integer number (221338746720).

Almost surely, 2^{130305533245440} is an apocalyptic number.

130305533245440 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 130305533245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254982236221440).

130305533245440 is an abundant number, since it is smaller than the sum of its proper divisors (379658939197440).

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

130305533245440 is a wasteful number, since it uses less digits than its factorization.

130305533245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 42.

Adding to 130305533245440 its reverse (44542335503031), we get a palindrome (174847868748471).

The spelling of 130305533245440 in words is "one hundred thirty trillion, three hundred five billion, five hundred thirty-three million, two hundred forty-five thousand, four hundred forty".