540631303405744 has 80 divisors (see below), whose sum is σ = 1103370509767680. Its totient is φ = 256113829030400.

The previous prime is 540631303405729. The next prime is 540631303405789. The reversal of 540631303405744 is 447504303136045.

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 15 ways as a sum of consecutive naturals, for example, 310951644 + ... + 312685444.

It is an arithmetic number, because the mean of its divisors is an integer number (13792131372096).

Almost surely, 2^{540631303405744} 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 540631303405744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551685254883840).

540631303405744 is an abundant number, since it is smaller than the sum of its proper divisors (562739206361936).

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

540631303405744 is a wasteful number, since it uses less digits than its factorization.

540631303405744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741858 (or 1741852 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 49.

The spelling of 540631303405744 in words is "five hundred forty trillion, six hundred thirty-one billion, three hundred three million, four hundred five thousand, seven hundred forty-four".