130962304402944 has 240 divisors, whose sum is σ = 419848646382000. Its totient is φ = 36127531646976.

The previous prime is 130962304402921. The next prime is 130962304402967. The reversal of 130962304402944 is 449204403269031.

It is an interprime number because it is at equal distance from previous prime (130962304402921) and next prime (130962304402967).

It is a super-3 number, since 3×130962304402944³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27818019 + ... + 32183330.

It is an arithmetic number, because the mean of its divisors is an integer number (1749369359925).

Almost surely, 2^{130962304402944} is an apocalyptic number.

130962304402944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

130962304402944 is an abundant number, since it is smaller than the sum of its proper divisors (288886341979056).

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

130962304402944 is an equidigital number, since it uses as much as digits as its factorization.

130962304402944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60001413 (or 60001390 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 51.

The spelling of 130962304402944 in words is "one hundred thirty trillion, nine hundred sixty-two billion, three hundred four million, four hundred two thousand, nine hundred forty-four".