40304403440000 has 320 divisors, whose sum is σ = 114696015651360. Its totient is φ = 13815386112000.

The previous prime is 40304403439961. The next prime is 40304403440069. The reversal of 40304403440000 is 4430440304.

It is a tau number, because it is divible by the number of its divisors (320).

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, 4411115432 + ... + 4411124568.

Almost surely, 2^{40304403440000} is an apocalyptic number.

40304403440000 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 40304403440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57348007825680).

40304403440000 is an abundant number, since it is smaller than the sum of its proper divisors (74391612211360).

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

40304403440000 is an frugal number, since it uses more digits than its factorization.

40304403440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17055 (or 17028 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 40304403440000 its reverse (4430440304), we get a palindrome (40308833880304).

The spelling of 40304403440000 in words is "forty trillion, three hundred four billion, four hundred three million, four hundred forty thousand".