544941402240400 has 135 divisors (see below), whose sum is σ = 1439075451587683. Its totient is φ = 198158642387200.

The previous prime is 544941402240383. The next prime is 544941402240427. The reversal of 544941402240400 is 4042204149445.

The square root of 544941402240400 is 23343980.

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 129090771923344 + 415850630317056 = 11361812^2 + 20392416^2 .

It is a super-2 number, since 2×544941402240400² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5135622546 + ... + 5135728654.

Almost surely, 2^{544941402240400} is an apocalyptic number.

544941402240400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

544941402240400 is the 23343980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 544941402240400

544941402240400 is an abundant number, since it is smaller than the sum of its proper divisors (894134049347283).

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

544941402240400 is an frugal number, since it uses more digits than its factorization.

544941402240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212258 (or 106127 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 43.

Adding to 544941402240400 its reverse (4042204149445), we get a palindrome (548983606389845).

The spelling of 544941402240400 in words is "five hundred forty-four trillion, nine hundred forty-one billion, four hundred two million, two hundred forty thousand, four hundred".