5409474391200 has 288 divisors, whose sum is σ = 19219124897280. Its totient is φ = 1310665907200.

The previous prime is 5409474391187. The next prime is 5409474391207. The reversal of 5409474391200 is 21934749045.

It is a super-2 number, since 2×5409474391200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5409474391200.

It is not an unprimeable number, because it can be changed into a prime (5409474391207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48705331 + ... + 48816269.

It is an arithmetic number, because the mean of its divisors is an integer number (66733072560).

Almost surely, 2^{5409474391200} is an apocalyptic number.

5409474391200 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 5409474391200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9609562448640).

5409474391200 is an abundant number, since it is smaller than the sum of its proper divisors (13809650506080).

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

5409474391200 is a wasteful number, since it uses less digits than its factorization.

5409474391200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112820 (or 112807 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 5409474391200 in words is "five trillion, four hundred nine billion, four hundred seventy-four million, three hundred ninety-one thousand, two hundred".