540252141640 has 128 divisors (see below), whose sum is σ = 1277644492800. Its totient is φ = 205327906560.

The previous prime is 540252141613. The next prime is 540252141647. The reversal of 540252141640 is 46141252045.

It is a junction number, because it is equal to n+sod(n) for n = 540252141596 and 540252141605.

It is not an unprimeable number, because it can be changed into a prime (540252141647) by changing a digit.

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, 64596099 + ... + 64604461.

It is an arithmetic number, because the mean of its divisors is an integer number (9981597600).

Almost surely, 2^540252141640 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 540252141640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638822246400).

540252141640 is an abundant number, since it is smaller than the sum of its proper divisors (737392351160).

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

540252141640 is a wasteful number, since it uses less digits than its factorization.

540252141640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9347 (or 9343 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 540252141640 its reverse (46141252045), we get a palindrome (586393393685).

The spelling of 540252141640 in words is "five hundred forty billion, two hundred fifty-two million, one hundred forty-one thousand, six hundred forty".