540411830112 has 288 divisors, whose sum is σ = 1786041363456. Its totient is φ = 140049930240.

The previous prime is 540411830093. The next prime is 540411830141. The reversal of 540411830112 is 211038114045.

It is a super-2 number, since 2×540411830112² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 540411830112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37152313 + ... + 37166855.

It is an arithmetic number, because the mean of its divisors is an integer number (6201532512).

Almost surely, 2^540411830112 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 540411830112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893020681728).

540411830112 is an abundant number, since it is smaller than the sum of its proper divisors (1245629533344).

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

540411830112 is a wasteful number, since it uses less digits than its factorization.

540411830112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15042 (or 15023 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 540411830112 its reverse (211038114045), we get a palindrome (751449944157).

The spelling of 540411830112 in words is "five hundred forty billion, four hundred eleven million, eight hundred thirty thousand, one hundred twelve".