5341830940800 has 384 divisors, whose sum is σ = 19625767531200. Its totient is φ = 1418939596800.

The previous prime is 5341830940783. The next prime is 5341830940811. The reversal of 5341830940800 is 80490381435.

5341830940800 is a `hidden beast` number, since 534 + 1 + 8 + 30 + 9 + 4 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

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, 22084515 + ... + 22325085.

Almost surely, 2^{5341830940800} is an apocalyptic number.

5341830940800 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 5341830940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9812883765600).

5341830940800 is an abundant number, since it is smaller than the sum of its proper divisors (14283936590400).

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

5341830940800 is a wasteful number, since it uses less digits than its factorization.

5341830940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240861 (or 240838 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 5341830940800 in words is "five trillion, three hundred forty-one billion, eight hundred thirty million, nine hundred forty thousand, eight hundred".