44455054400000 has 480 divisors, whose sum is σ = 117815876895024. Its totient is φ = 16698572800000.

The previous prime is 44455054399927. The next prime is 44455054400021. The reversal of 44455054400000 is 445055444.

It can be written as a sum of positive squares in 24 ways, for example, as 19669154040064 + 24785900359936 = 4434992^2 + 4978544^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14171198432 + ... + 14171201568.

Almost surely, 2^{44455054400000} is an apocalyptic number.

44455054400000 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 44455054400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58907938447512).

44455054400000 is an abundant number, since it is smaller than the sum of its proper divisors (73360822495024).

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

44455054400000 is an frugal number, since it uses more digits than its factorization.

44455054400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3718 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 35.

Adding to 44455054400000 its reverse (445055444), we get a palindrome (44455499455444).

The spelling of 44455054400000 in words is "forty-four trillion, four hundred fifty-five billion, fifty-four million, four hundred thousand".