130730072739840 has 4992 divisors, whose sum is σ = 596888659722240. Its totient is φ = 26977370112000.

The previous prime is 130730072739823. The next prime is 130730072739841. The reversal of 130730072739840 is 48937270037031.

130730072739840 is a `hidden beast` number, since 1 + 307 + 300 + 7 + 27 + 3 + 9 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (130730072739841) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1294357155790 + ... + 1294357155890.

Almost surely, 2^{130730072739840} is an apocalyptic number.

130730072739840 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 130730072739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298444329861120).

130730072739840 is an abundant number, since it is smaller than the sum of its proper divisors (466158586982400).

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

130730072739840 is a wasteful number, since it uses less digits than its factorization.

130730072739840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 130730072739840 in words is "one hundred thirty trillion, seven hundred thirty billion, seventy-two million, seven hundred thirty-nine thousand, eight hundred forty".