5441248612800 has 6048 divisors, whose sum is σ = 28690342367232. Its totient is φ = 985374720000.

The previous prime is 5441248612799. The next prime is 5441248612847. The reversal of 5441248612800 is 82168421445.

5441248612800 is a `hidden beast` number, since 5 + 4 + 4 + 1 + 24 + 8 + 612 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a super-3 number, since 3×5441248612800³ (a number of 39 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 132713380780 + ... + 132713380820.

Almost surely, 2^{5441248612800} is an apocalyptic number.

5441248612800 is a gapful number since it is divisible by the number (50) 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 5441248612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14345171183616).

5441248612800 is an abundant number, since it is smaller than the sum of its proper divisors (23249093754432).

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

5441248612800 is a wasteful number, since it uses less digits than its factorization.

5441248612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 5441248612800 in words is "five trillion, four hundred forty-one billion, two hundred forty-eight million, six hundred twelve thousand, eight hundred".