229660905277440 has 4608 divisors, whose sum is σ = 1097394385651200. Its totient is φ = 45557420654592.

The previous prime is 229660905277357. The next prime is 229660905277459. The reversal of 229660905277440 is 44772509066922.

229660905277440 is a `hidden beast` number, since 2 + 2 + 9 + 6 + 60 + 9 + 0 + 527 + 7 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 242514155047 + ... + 242514155993.

It is an arithmetic number, because the mean of its divisors is an integer number (238149823275).

Almost surely, 2^{229660905277440} is an apocalyptic number.

229660905277440 is a gapful number since it is divisible by the number (20) 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 229660905277440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548697192825600).

229660905277440 is an abundant number, since it is smaller than the sum of its proper divisors (867733480373760).

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

229660905277440 is an equidigital number, since it uses as much as digits as its factorization.

229660905277440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 229660905277440 in words is "two hundred twenty-nine trillion, six hundred sixty billion, nine hundred five million, two hundred seventy-seven thousand, four hundred forty".