173228131440 has 640 divisors, whose sum is σ = 758084812800. Its totient is φ = 35368980480.

The previous prime is 173228131429. The next prime is 173228131507. The reversal of 173228131440 is 44131822371.

173228131440 is a `hidden beast` number, since 17 + 322 + 8 + 1 + 314 + 4 + 0 = 666.

173228131440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 173228131395 and 173228131404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6079146 + ... + 6107574.

It is an arithmetic number, because the mean of its divisors is an integer number (1184507520).

Almost surely, 2^173228131440 is an apocalyptic number.

173228131440 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 173228131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379042406400).

173228131440 is an abundant number, since it is smaller than the sum of its proper divisors (584856681360).

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

173228131440 is a wasteful number, since it uses less digits than its factorization.

173228131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28502 (or 28490 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 173228131440 in words is "one hundred seventy-three billion, two hundred twenty-eight million, one hundred thirty-one thousand, four hundred forty".