540833223424 has 288 divisors, whose sum is σ = 1249809523200. Its totient is φ = 231500021760.

The previous prime is 540833223409. The next prime is 540833223431. The reversal of 540833223424 is 424322338045.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 803615152 + ... + 803615824.

It is an arithmetic number, because the mean of its divisors is an integer number (4339616400).

Almost surely, 2^540833223424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540833223424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624904761600).

540833223424 is an abundant number, since it is smaller than the sum of its proper divisors (708976299776).

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

540833223424 is a wasteful number, since it uses less digits than its factorization.

540833223424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 40.

The spelling of 540833223424 in words is "five hundred forty billion, eight hundred thirty-three million, two hundred twenty-three thousand, four hundred twenty-four".