440448040400 has 240 divisors, whose sum is σ = 1127715571584. Its totient is φ = 164963082240.

The previous prime is 440448040391. The next prime is 440448040411. The reversal of 440448040400 is 4040844044.

It is a super-3 number, since 3×440448040400³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92006807 + ... + 92011593.

Almost surely, 2^440448040400 is an apocalyptic number.

440448040400 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 440448040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563857785792).

440448040400 is an abundant number, since it is smaller than the sum of its proper divisors (687267531184).

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

440448040400 is a wasteful number, since it uses less digits than its factorization.

440448040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5038 (or 5027 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 440448040400 its reverse (4040844044), we get a palindrome (444488884444).

The spelling of 440448040400 in words is "four hundred forty billion, four hundred forty-eight million, forty thousand, four hundred".