540611400120 has 256 divisors, whose sum is σ = 1809444096000. Its totient is φ = 128114688000.

The previous prime is 540611400103. The next prime is 540611400163. The reversal of 540611400120 is 21004116045.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10506616 + ... + 10557944.

It is an arithmetic number, because the mean of its divisors is an integer number (7068141000).

Almost surely, 2^540611400120 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 540611400120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904722048000).

540611400120 is an abundant number, since it is smaller than the sum of its proper divisors (1268832695880).

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

540611400120 is a wasteful number, since it uses less digits than its factorization.

540611400120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51534 (or 51530 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 540611400120 its reverse (21004116045), we get a palindrome (561615516165).

The spelling of 540611400120 in words is "five hundred forty billion, six hundred eleven million, four hundred thousand, one hundred twenty".