540591408000 has 1024 divisors, whose sum is σ = 2304770457600. Its totient is φ = 123507763200.

The previous prime is 540591407999. The next prime is 540591408043. The reversal of 540591408000 is 804195045.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 127 ways as a sum of consecutive naturals, for example, 244942897 + ... + 244945103.

It is an arithmetic number, because the mean of its divisors is an integer number (2250752400).

Almost surely, 2^540591408000 is an apocalyptic number.

540591408000 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 540591408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152385228800).

540591408000 is an abundant number, since it is smaller than the sum of its proper divisors (1764179049600).

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

540591408000 is an frugal number, since it uses more digits than its factorization.

540591408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 540591408000 in words is "five hundred forty billion, five hundred ninety-one million, four hundred eight thousand".