5441906641248 has 1536 divisors, whose sum is σ = 21195907891200. Its totient is φ = 1335737018880.

The previous prime is 5441906641231. The next prime is 5441906641343. The reversal of 5441906641248 is 8421466091445.

5441906641248 is a `hidden beast` number, since 5 + 4 + 41 + 90 + 66 + 412 + 48 = 666.

It is a super-2 number, since 2×5441906641248² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5441906641194 and 5441906641203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 65565140215 + ... + 65565140297.

It is an arithmetic number, because the mean of its divisors is an integer number (13799419200).

Almost surely, 2^{5441906641248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5441906641248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10597953945600).

5441906641248 is an abundant number, since it is smaller than the sum of its proper divisors (15754001249952).

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

5441906641248 is an frugal number, since it uses more digits than its factorization.

5441906641248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 5441906641248 in words is "five trillion, four hundred forty-one billion, nine hundred six million, six hundred forty-one thousand, two hundred forty-eight".