1044504440100 has 729 divisors, whose sum is σ = 3821443132689. Its totient is φ = 238414492800.

The previous prime is 1044504440059. The next prime is 1044504440117. The reversal of 1044504440100 is 10444054401.

The square root of 1044504440100 is 1022010.

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

1044504440100 is a `hidden beast` number, since 10 + 4 + 4 + 504 + 4 + 40 + 100 = 666.

It can be written as a sum of positive squares in only one way, i.e., 376021598436 + 668482841664 = 613206^2 + 817608^2 .

It is a super-2 number, since 2×1044504440100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 6408002619 + ... + 6408002781.

Almost surely, 2^{1044504440100} is an apocalyptic number.

1044504440100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1044504440100 is the 1022010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1044504440100

1044504440100 is an abundant number, since it is smaller than the sum of its proper divisors (2776938692589).

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

1044504440100 is a wasteful number, since it uses less digits than its factorization.

1044504440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 1044504440100 its reverse (10444054401), we get a palindrome (1054948494501).

The spelling of 1044504440100 in words is "one trillion, forty-four billion, five hundred four million, four hundred forty thousand, one hundred".