440421443132000 has 192 divisors, whose sum is σ = 1181023316036928. Its totient is φ = 160080847360000.

The previous prime is 440421443131991. The next prime is 440421443132003. The reversal of 440421443132000 is 231344124044.

It is a super-3 number, since 3×440421443132000³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440421443132003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95110460 + ... + 99633540.

It is an arithmetic number, because the mean of its divisors is an integer number (6151163104359).

Almost surely, 2^{440421443132000} is an apocalyptic number.

440421443132000 is a gapful number since it is divisible by the number (40) 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 440421443132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590511658018464).

440421443132000 is an abundant number, since it is smaller than the sum of its proper divisors (740601872904928).

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

440421443132000 is a wasteful number, since it uses less digits than its factorization.

440421443132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4525330 (or 4525312 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 440421443132000 its reverse (231344124044), we get a palindrome (440652787256044).

The spelling of 440421443132000 in words is "four hundred forty trillion, four hundred twenty-one billion, four hundred forty-three million, one hundred thirty-two thousand".