440379661824 has 120 divisors (see below), whose sum is σ = 1271239706880. Its totient is φ = 146761555968.

The previous prime is 440379661817. The next prime is 440379661829. The reversal of 440379661824 is 428166973044.

440379661824 is a `hidden beast` number, since 440 + 37 + 96 + 6 + 1 + 82 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440379661829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32428924 + ... + 32442500.

It is an arithmetic number, because the mean of its divisors is an integer number (10593664224).

Almost surely, 2^440379661824 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 440379661824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635619853440).

440379661824 is an abundant number, since it is smaller than the sum of its proper divisors (830860045056).

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

440379661824 is a wasteful number, since it uses less digits than its factorization.

440379661824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20640 (or 20621 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 440379661824 in words is "four hundred forty billion, three hundred seventy-nine million, six hundred sixty-one thousand, eight hundred twenty-four".