5418357331200 has 432 divisors, whose sum is σ = 19520313286656. Its totient is φ = 1312666214400.

The previous prime is 5418357331193. The next prime is 5418357331201. The reversal of 5418357331200 is 21337538145.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5418357331201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 351217887 + ... + 351233313.

Almost surely, 2^{5418357331200} is an apocalyptic number.

5418357331200 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 5418357331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9760156643328).

5418357331200 is an abundant number, since it is smaller than the sum of its proper divisors (14101955955456).

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

5418357331200 is a wasteful number, since it uses less digits than its factorization.

5418357331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17130 (or 17111 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 5418357331200 in words is "five trillion, four hundred eighteen billion, three hundred fifty-seven million, three hundred thirty-one thousand, two hundred".