440929916064 has 192 divisors, whose sum is σ = 1405033620480. Its totient is φ = 133417532160.

The previous prime is 440929916051. The next prime is 440929916107. The reversal of 440929916064 is 460619929044.

It is a happy number.

440929916064 is a `hidden beast` number, since 4 + 4 + 0 + 9 + 29 + 9 + 1 + 606 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 440929916064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6457269 + ... + 6525195.

It is an arithmetic number, because the mean of its divisors is an integer number (7317883440).

Almost surely, 2^440929916064 is an apocalyptic number.

440929916064 is a gapful number since it is divisible by the number (44) 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 440929916064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702516810240).

440929916064 is an abundant number, since it is smaller than the sum of its proper divisors (964103704416).

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

440929916064 is a wasteful number, since it uses less digits than its factorization.

440929916064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68640 (or 68626 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 440929916064 in words is "four hundred forty billion, nine hundred twenty-nine million, nine hundred sixteen thousand, sixty-four".