130234441236480 has 1152 divisors, whose sum is σ = 527987892706560. Its totient is φ = 29608881684480.

The previous prime is 130234441236479. The next prime is 130234441236521. The reversal of 130234441236480 is 84632144432031.

130234441236480 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 3 + 4 + 44 + 123 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×130234441236480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13800402322 + ... + 13800411758.

It is an arithmetic number, because the mean of its divisors is an integer number (458322823530).

Almost surely, 2^{130234441236480} is an apocalyptic number.

130234441236480 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 130234441236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263993946353280).

130234441236480 is an abundant number, since it is smaller than the sum of its proper divisors (397753451470080).

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

130234441236480 is an equidigital number, since it uses as much as digits as its factorization.

130234441236480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9683 (or 9645 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 130234441236480 in words is "one hundred thirty trillion, two hundred thirty-four billion, four hundred forty-one million, two hundred thirty-six thousand, four hundred eighty".