130171465440 has 288 divisors, whose sum is σ = 468247197600. Its totient is φ = 32839188480.

The previous prime is 130171465439. The next prime is 130171465441. The reversal of 130171465440 is 44564171031.

130171465440 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 71 + 46 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (130171465439) and next prime (130171465441).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×130171465440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 130171465395 and 130171465404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130171465441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22131300 + ... + 22137180.

It is an arithmetic number, because the mean of its divisors is an integer number (1625858325).

Almost surely, 2^130171465440 is an apocalyptic number.

130171465440 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 130171465440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234123598800).

130171465440 is an abundant number, since it is smaller than the sum of its proper divisors (338075732160).

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

130171465440 is a wasteful number, since it uses less digits than its factorization.

130171465440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6730 (or 6719 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 130171465440 in words is "one hundred thirty billion, one hundred seventy-one million, four hundred sixty-five thousand, four hundred forty".