542314416400 has 45 divisors (see below), whose sum is σ = 1302945771343. Its totient is φ = 216919875200.

The previous prime is 542314416389. The next prime is 542314416403. The reversal of 542314416400 is 4614413245.

The square root of 542314416400 is 736420.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 54015337744 + 488299078656 = 232412^2 + 698784^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (542314416403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14709990 + ... + 14746810.

Almost surely, 2^542314416400 is an apocalyptic number.

542314416400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

542314416400 is the 736420-th square number.

It is an amenable number.

542314416400 is an abundant number, since it is smaller than the sum of its proper divisors (760631354943).

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

542314416400 is an frugal number, since it uses more digits than its factorization.

542314416400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73660 (or 36828 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 542314416400 its reverse (4614413245), we get a palindrome (546928829645).

The spelling of 542314416400 in words is "five hundred forty-two billion, three hundred fourteen million, four hundred sixteen thousand, four hundred".