5284481440000 has 405 divisors, whose sum is σ = 15351909723381. Its totient is φ = 1809615360000.

The previous prime is 5284481439997. The next prime is 5284481440001. The reversal of 5284481440000 is 441844825.

The square root of 5284481440000 is 2298800.

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

It can be written as a sum of positive squares in 7 ways, for example, as 4919240100096 + 365241339904 = 2217936^2 + 604352^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (5284481440001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6436639590 + ... + 6436640410.

Almost surely, 2^{5284481440000} is an apocalyptic number.

5284481440000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5284481440000 is the 2298800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5284481440000

5284481440000 is an abundant number, since it is smaller than the sum of its proper divisors (10067428283381).

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

5284481440000 is an frugal number, since it uses more digits than its factorization.

5284481440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 40.

The spelling of 5284481440000 in words is "five trillion, two hundred eighty-four billion, four hundred eighty-one million, four hundred forty thousand".