540025144247400 has 384 divisors, whose sum is σ = 1934951086632960. Its totient is φ = 122040038016000.

The previous prime is 540025144247377. The next prime is 540025144247417. The reversal of 540025144247400 is 4742441520045.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 95 ways as a sum of consecutive naturals, for example, 147293302 + ... + 150915098.

It is an arithmetic number, because the mean of its divisors is an integer number (5038935121440).

Almost surely, 2^{540025144247400} is an apocalyptic number.

540025144247400 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 540025144247400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967475543316480).

540025144247400 is an abundant number, since it is smaller than the sum of its proper divisors (1394925942385560).

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

540025144247400 is a wasteful number, since it uses less digits than its factorization.

540025144247400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3622225 (or 3622216 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 42.

Adding to 540025144247400 its reverse (4742441520045), we get a palindrome (544767585767445).

The spelling of 540025144247400 in words is "five hundred forty trillion, twenty-five billion, one hundred forty-four million, two hundred forty-seven thousand, four hundred".