130349768414040 has 1024 divisors, whose sum is σ = 528678420480000. Its totient is φ = 27887348736000.

The previous prime is 130349768414029. The next prime is 130349768414141. The reversal of 130349768414040 is 40414867943031.

130349768414040 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 497 + 6 + 8 + 4 + 140 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 40095282415 + ... + 40095285665.

It is an arithmetic number, because the mean of its divisors is an integer number (516287520000).

Almost surely, 2^{130349768414040} is an apocalyptic number.

130349768414040 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 130349768414040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264339210240000).

130349768414040 is an abundant number, since it is smaller than the sum of its proper divisors (398328652065960).

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

130349768414040 is a wasteful number, since it uses less digits than its factorization.

130349768414040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4917 (or 4907 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 130349768414040 in words is "one hundred thirty trillion, three hundred forty-nine billion, seven hundred sixty-eight million, four hundred fourteen thousand, forty".