5504440467456 has 960 divisors, whose sum is σ = 19629324000000. Its totient is φ = 1481600139264.

The previous prime is 5504440467451. The next prime is 5504440467473. The reversal of 5504440467456 is 6547640444055.

5504440467456 is a `hidden beast` number, since 5 + 50 + 44 + 40 + 4 + 67 + 456 = 666.

It is a super-2 number, since 2×5504440467456² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5504440467451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30751063975 + ... + 30751064153.

It is an arithmetic number, because the mean of its divisors is an integer number (20447212500).

Almost surely, 2^{5504440467456} is an apocalyptic number.

5504440467456 is a gapful number since it is divisible by the number (56) 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 5504440467456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9814662000000).

5504440467456 is an abundant number, since it is smaller than the sum of its proper divisors (14124883532544).

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

5504440467456 is an frugal number, since it uses more digits than its factorization.

5504440467456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 32256000, while the sum is 54.

The spelling of 5504440467456 in words is "five trillion, five hundred four billion, four hundred forty million, four hundred sixty-seven thousand, four hundred fifty-six".