440304000000000 has 560 divisors, whose sum is σ = 1467750259858608. Its totient is φ = 117401600000000.

The previous prime is 440303999999869. The next prime is 440304000000157. The reversal of 440304000000000 is 403044.

It is a super-2 number, since 2×440304000000000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47999995414 + ... + 48000004586.

Almost surely, 2^{440304000000000} is an apocalyptic number.

440304000000000 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 440304000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733875129929304).

440304000000000 is an abundant number, since it is smaller than the sum of its proper divisors (1027446259858608).

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

440304000000000 is an frugal number, since it uses more digits than its factorization.

440304000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9247 (or 9183 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 440304000000000 its reverse (403044), we get a palindrome (440304000403044).

The spelling of 440304000000000 in words is "four hundred forty trillion, three hundred four billion", and thus it is an aban number.