440690938560 has 168 divisors, whose sum is σ = 1519043653296. Its totient is φ = 117265582080.

The previous prime is 440690938549. The next prime is 440690938561. The reversal of 440690938560 is 65839096044.

440690938560 is a `hidden beast` number, since 4 + 40 + 6 + 9 + 0 + 9 + 38 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 440690938497 and 440690938506.

It is not an unprimeable number, because it can be changed into a prime (440690938561) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1181130 + ... + 1508790.

Almost surely, 2^440690938560 is an apocalyptic number.

440690938560 is a gapful number since it is divisible by the number (40) 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 440690938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759521826648).

440690938560 is an abundant number, since it is smaller than the sum of its proper divisors (1078352714736).

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

440690938560 is a wasteful number, since it uses less digits than its factorization.

440690938560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328151 (or 328138 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 440690938560 in words is "four hundred forty billion, six hundred ninety million, nine hundred thirty-eight thousand, five hundred sixty".