540438000000 has 224 divisors, whose sum is σ = 1794419999880. Its totient is φ = 144115200000.

The previous prime is 540437999999. The next prime is 540438000017. The reversal of 540438000000 is 834045.

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 27 ways as a sum of consecutive naturals, for example, 5954964 + ... + 6045036.

Almost surely, 2^540438000000 is an apocalyptic number.

540438000000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540438000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897209999940).

540438000000 is an abundant number, since it is smaller than the sum of its proper divisors (1253981999880).

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

540438000000 is an frugal number, since it uses more digits than its factorization.

540438000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90120 (or 90083 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 540438000000 its reverse (834045), we get a palindrome (540438834045).

The spelling of 540438000000 in words is "five hundred forty billion, four hundred thirty-eight million", and thus it is an aban number.