540235440216 has 112 divisors (see below), whose sum is σ = 1534375915800. Its totient is φ = 178221814272.

The previous prime is 540235440167. The next prime is 540235440229. The reversal of 540235440216 is 612044532045.

540235440216 is a `hidden beast` number, since 5 + 4 + 0 + 235 + 4 + 402 + 16 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 88215 + ... + 1043193.

Almost surely, 2^540235440216 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 540235440216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767187957900).

540235440216 is an abundant number, since it is smaller than the sum of its proper divisors (994140475584).

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

540235440216 is an equidigital number, since it uses as much as digits as its factorization.

540235440216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955100 (or 955081 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 540235440216 in words is "five hundred forty billion, two hundred thirty-five million, four hundred forty thousand, two hundred sixteen".