540534412000 has 192 divisors, whose sum is σ = 1449735356160. Its totient is φ = 196435008000.

The previous prime is 540534411983. The next prime is 540534412081. The reversal of 540534412000 is 214435045.

It is a self number, because there is not a number n which added to its sum of digits gives 540534412000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99745291 + ... + 99750709.

It is an arithmetic number, because the mean of its divisors is an integer number (7550704980).

Almost surely, 2^540534412000 is an apocalyptic number.

540534412000 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 540534412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724867678080).

540534412000 is an abundant number, since it is smaller than the sum of its proper divisors (909200944160).

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

540534412000 is a wasteful number, since it uses less digits than its factorization.

540534412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7722 (or 7704 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 540534412000 its reverse (214435045), we get a palindrome (540748847045).

The spelling of 540534412000 in words is "five hundred forty billion, five hundred thirty-four million, four hundred twelve thousand".