440542615968 has 1728 divisors, whose sum is σ = 1780198318080. Its totient is φ = 105815808000.

The previous prime is 440542615901. The next prime is 440542616029. The reversal of 440542615968 is 869516245044.

It is a happy number.

440542615968 is a `hidden beast` number, since 4 + 4 + 0 + 5 + 42 + 6 + 1 + 596 + 8 = 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 (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2917500693 + ... + 2917500843.

It is an arithmetic number, because the mean of its divisors is an integer number (1030207360).

Almost surely, 2^440542615968 is an apocalyptic number.

440542615968 is a gapful number since it is divisible by the number (48) 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 440542615968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890099159040).

440542615968 is an abundant number, since it is smaller than the sum of its proper divisors (1339655702112).

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

440542615968 is a wasteful number, since it uses less digits than its factorization.

440542615968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 440542615968 in words is "four hundred forty billion, five hundred forty-two million, six hundred fifteen thousand, nine hundred sixty-eight".