540351412000000 has 252 divisors, whose sum is σ = 1419182134236160. Its totient is φ = 204764716800000.

The previous prime is 540351411999899. The next prime is 540351412000021. The reversal of 540351412000000 is 214153045.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 72445057 + ... + 79554943.

Almost surely, 2^{540351412000000} is an apocalyptic number.

540351412000000 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 540351412000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709591067118080).

540351412000000 is an abundant number, since it is smaller than the sum of its proper divisors (878830722236160).

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

540351412000000 is an frugal number, since it uses more digits than its factorization.

540351412000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7109952 (or 7109913 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 540351412000000 its reverse (214153045), we get a palindrome (540351626153045).

The spelling of 540351412000000 in words is "five hundred forty trillion, three hundred fifty-one billion, four hundred twelve million", and thus it is an aban number.