440044975872 has 648 divisors, whose sum is σ = 1400342274240. Its totient is φ = 132756848640.

The previous prime is 440044975861. The next prime is 440044975897. The reversal of 440044975872 is 278579440044.

440044975872 is a `hidden beast` number, since 440 + 0 + 44 + 97 + 5 + 8 + 72 = 666.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 2431187622 + ... + 2431187802.

Almost surely, 2^440044975872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440044975872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700171137120).

440044975872 is an abundant number, since it is smaller than the sum of its proper divisors (960297298368).

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

440044975872 is a wasteful number, since it uses less digits than its factorization.

440044975872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 440044975872 in words is "four hundred forty billion, forty-four million, nine hundred seventy-five thousand, eight hundred seventy-two".