540234212200 has 96 divisors (see below), whose sum is σ = 1288832431320. Its totient is φ = 210470400000.

The previous prime is 540234212113. The next prime is 540234212237. The reversal of 540234212200 is 2212432045.

It can be written as a sum of positive squares in 12 ways, for example, as 27139926564 + 513094285636 = 164742^2 + 716306^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 23 ways as a sum of consecutive naturals, for example, 4873390 + ... + 4983010.

Almost surely, 2^540234212200 is an apocalyptic number.

540234212200 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 540234212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644416215660).

540234212200 is an abundant number, since it is smaller than the sum of its proper divisors (748598219120).

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

540234212200 is a wasteful number, since it uses less digits than its factorization.

540234212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110279 (or 110270 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 540234212200 its reverse (2212432045), we get a palindrome (542446644245).

The spelling of 540234212200 in words is "five hundred forty billion, two hundred thirty-four million, two hundred twelve thousand, two hundred".