440293887729696 has 1728 divisors, whose sum is σ = 1687197933590400. Its totient is φ = 99231532646400.

The previous prime is 440293887729623. The next prime is 440293887729719. The reversal of 440293887729696 is 696927788392044.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 133462831855 + ... + 133462835153.

It is an arithmetic number, because the mean of its divisors is an integer number (976387693050).

Almost surely, 2^{440293887729696} 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 440293887729696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843598966795200).

440293887729696 is an abundant number, since it is smaller than the sum of its proper divisors (1246904045860704).

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

440293887729696 is a wasteful number, since it uses less digits than its factorization.

440293887729696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4439 (or 4413 counting only the distinct ones).

The product of its (nonzero) digits is 15801827328, while the sum is 84.

The spelling of 440293887729696 in words is "four hundred forty trillion, two hundred ninety-three billion, eight hundred eighty-seven million, seven hundred twenty-nine thousand, six hundred ninety-six".