130409955312 has 640 divisors, whose sum is σ = 441998376960. Its totient is φ = 32218767360.

The previous prime is 130409955301. The next prime is 130409955349. The reversal of 130409955312 is 213559904031.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 780897853 + ... + 780898019.

It is an arithmetic number, because the mean of its divisors is an integer number (690622464).

Almost surely, 2^130409955312 is an apocalyptic number.

130409955312 is a gapful number since it is divisible by the number (12) 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 130409955312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220999188480).

130409955312 is an abundant number, since it is smaller than the sum of its proper divisors (311588421648).

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

130409955312 is a wasteful number, since it uses less digits than its factorization.

130409955312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 42.

The spelling of 130409955312 in words is "one hundred thirty billion, four hundred nine million, nine hundred fifty-five thousand, three hundred twelve".