440463633361332 has 288 divisors, whose sum is σ = 1211316778828800. Its totient is φ = 124198265157120.

The previous prime is 440463633361289. The next prime is 440463633361333. The reversal of 440463633361332 is 233163336364044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440463633361333) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20695550763 + ... + 20695572045.

It is an arithmetic number, because the mean of its divisors is an integer number (4205961037600).

Almost surely, 2^{440463633361332} is an apocalyptic number.

440463633361332 is a gapful number since it is divisible by the number (42) 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 440463633361332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605658389414400).

440463633361332 is an abundant number, since it is smaller than the sum of its proper divisors (770853145467468).

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

440463633361332 is a wasteful number, since it uses less digits than its factorization.

440463633361332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22931 (or 22922 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 51.

The spelling of 440463633361332 in words is "four hundred forty trillion, four hundred sixty-three billion, six hundred thirty-three million, three hundred sixty-one thousand, three hundred thirty-two".