5441955840000 has 975 divisors, whose sum is σ = 20400168674347. Its totient is φ = 1451188224000.

The previous prime is 5441955839941. The next prime is 5441955840017. The reversal of 5441955840000 is 485591445.

The square root of 5441955840000 is 2332800.

It is a perfect power (a square), and thus also a powerful number.

5441955840000 is a `hidden beast` number, since 5 + 4 + 4 + 195 + 58 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 426649337856 + 5015306502144 = 653184^2 + 2239488^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=1080.

It is a super-2 number, since 2×5441955840000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 64 ways as a sum of consecutive naturals, for example, 1088391167998 + ... + 1088391168002.

Almost surely, 2^{5441955840000} is an apocalyptic number.

5441955840000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5441955840000 is the 2332800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5441955840000

5441955840000 is an abundant number, since it is smaller than the sum of its proper divisors (14958212834347).

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

5441955840000 is an frugal number, since it uses more digits than its factorization.

5441955840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 5441955840000 in words is "five trillion, four hundred forty-one billion, nine hundred fifty-five million, eight hundred forty thousand".