180109440 has 256 divisors, whose sum is σ = 729504000. Its totient is φ = 41140224.

The previous prime is 180109429. The next prime is 180109453. The reversal of 180109440 is 44901081.

It is a super-2 number, since 2×180109440² = 64878820754227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120216 + ... + 121704.

It is an arithmetic number, because the mean of its divisors is an integer number (2849625).

Almost surely, 2^180109440 is an apocalyptic number.

180109440 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 180109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364752000).

180109440 is an abundant number, since it is smaller than the sum of its proper divisors (549394560).

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

180109440 is a wasteful number, since it uses less digits than its factorization.

180109440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 180109440 is about 13420.4858332327. The cubic root of 180109440 is about 564.7360241264.

The spelling of 180109440 in words is "one hundred eighty million, one hundred nine thousand, four hundred forty".