440041012000000 has 252 divisors, whose sum is σ = 1135800132275340. Its totient is φ = 169946828800000.

The previous prime is 440041011999959. The next prime is 440041012000013. The reversal of 440041012000000 is 210140044.

It can be written as a sum of positive squares in 14 ways, for example, as 382885960470784 + 57155051529216 = 19567472^2 + 7560096^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 114103272 + ... + 117896728.

It is an arithmetic number, because the mean of its divisors is an integer number (4507143382045).

Almost surely, 2^{440041012000000} is an apocalyptic number.

440041012000000 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 440041012000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567900066137670).

440041012000000 is an abundant number, since it is smaller than the sum of its proper divisors (695759120275340).

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

440041012000000 is an frugal number, since it uses more digits than its factorization.

440041012000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3793532 (or 3793493 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 440041012000000 its reverse (210140044), we get a palindrome (440041222140044).

The spelling of 440041012000000 in words is "four hundred forty trillion, forty-one billion, twelve million", and thus it is an aban number.