180030122180440 has 128 divisors (see below), whose sum is σ = 466275130128000. Its totient is φ = 61279624581120.

The previous prime is 180030122180431. The next prime is 180030122180449. The reversal of 180030122180440 is 44081221030081.

It is an interprime number because it is at equal distance from previous prime (180030122180431) and next prime (180030122180449).

It is a junction number, because it is equal to n+sod(n) for n = 180030122180396 and 180030122180405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180030122180449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82234420 + ... + 84395260.

It is an arithmetic number, because the mean of its divisors is an integer number (3642774454125).

Almost surely, 2^{180030122180440} is an apocalyptic number.

180030122180440 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 180030122180440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233137565064000).

180030122180440 is an abundant number, since it is smaller than the sum of its proper divisors (286245007947560).

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

180030122180440 is a wasteful number, since it uses less digits than its factorization.

180030122180440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163005 (or 2163001 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 180030122180440 in words is "one hundred eighty trillion, thirty billion, one hundred twenty-two million, one hundred eighty thousand, four hundred forty".