229073466061440 has 10240 divisors, whose sum is σ = 1246860324864000. Its totient is φ = 38457562890240.

The previous prime is 229073466061409. The next prime is 229073466061499. The reversal of 229073466061440 is 44160664370922.

229073466061440 is a `hidden beast` number, since 2 + 2 + 90 + 73 + 46 + 6 + 0 + 6 + 1 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 1279 ways as a sum of consecutive naturals, for example, 1324124081194 + ... + 1324124081366.

It is an arithmetic number, because the mean of its divisors is an integer number (121763703600).

Almost surely, 2^{229073466061440} is an apocalyptic number.

229073466061440 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 229073466061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623430162432000).

229073466061440 is an abundant number, since it is smaller than the sum of its proper divisors (1017786858802560).

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

229073466061440 is a wasteful number, since it uses less digits than its factorization.

229073466061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 229073466061440 in words is "two hundred twenty-nine trillion, seventy-three billion, four hundred sixty-six million, sixty-one thousand, four hundred forty".