5189244134400 has 660 divisors, whose sum is σ = 19241351584180. Its totient is φ = 1381913395200.

The previous prime is 5189244134381. The next prime is 5189244134453. The reversal of 5189244134400 is 44314429815.

5189244134400 is a `hidden beast` number, since 5 + 189 + 24 + 4 + 1 + 3 + 440 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 33656103936 + 5155588030464 = 183456^2 + 2270592^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2216677230 + ... + 2216679570.

Almost surely, 2^{5189244134400} is an apocalyptic number.

5189244134400 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 5189244134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9620675792090).

5189244134400 is an abundant number, since it is smaller than the sum of its proper divisors (14052107449780).

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

5189244134400 is a wasteful number, since it uses less digits than its factorization.

5189244134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3452 (or 3420 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 5189244134400 in words is "five trillion, one hundred eighty-nine billion, two hundred forty-four million, one hundred thirty-four thousand, four hundred".