540230131301200 has 240 divisors, whose sum is σ = 1319169536674560. Its totient is φ = 212582603520000.

The previous prime is 540230131301191. The next prime is 540230131301221. The reversal of 540230131301200 is 2103131032045.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4542476137 + ... + 4542595063.

It is an arithmetic number, because the mean of its divisors is an integer number (5496539736144).

Almost surely, 2^{540230131301200} is an apocalyptic number.

540230131301200 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 540230131301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659584768337280).

540230131301200 is an abundant number, since it is smaller than the sum of its proper divisors (778939405373360).

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

540230131301200 is a wasteful number, since it uses less digits than its factorization.

540230131301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119766 (or 119755 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 540230131301200 its reverse (2103131032045), we get a palindrome (542333262333245).

The spelling of 540230131301200 in words is "five hundred forty trillion, two hundred thirty billion, one hundred thirty-one million, three hundred one thousand, two hundred".