5400411184000 has 256 divisors, whose sum is σ = 15573932375040. Its totient is φ = 1823931648000.

The previous prime is 5400411183971. The next prime is 5400411184031. The reversal of 5400411184000 is 4811140045.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 5400411184000.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7144165 + ... + 7863835.

It is an arithmetic number, because the mean of its divisors is an integer number (60835673340).

Almost surely, 2^{5400411184000} is an apocalyptic number.

5400411184000 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 5400411184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7786966187520).

5400411184000 is an abundant number, since it is smaller than the sum of its proper divisors (10173521191040).

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

5400411184000 is an equidigital number, since it uses as much as digits as its factorization.

5400411184000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719774 (or 719752 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The spelling of 5400411184000 in words is "five trillion, four hundred billion, four hundred eleven million, one hundred eighty-four thousand".