44105040144 has 405 divisors, whose sum is σ = 142758310149. Its totient is φ = 12701525760.

The previous prime is 44105040139. The next prime is 44105040151. The reversal of 44105040144 is 44104050144.

The square root of 44105040144 is 210012.

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

44105040144 is a `hidden beast` number, since 4 + 4 + 10 + 504 + 0 + 144 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39465795600 + 4639244544 = 198660^2 + 68112^2 .

It is a super-2 number, since 2×44105040144² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1025698587 + ... + 1025698629.

Almost surely, 2^44105040144 is an apocalyptic number.

44105040144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

44105040144 is the 210012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44105040144

44105040144 is an abundant number, since it is smaller than the sum of its proper divisors (98653270005).

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

44105040144 is a wasteful number, since it uses less digits than its factorization.

44105040144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 96 counting only the distinct ones).

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

Adding to 44105040144 its reverse (44104050144), we get a palindrome (88209090288).

The spelling of 44105040144 in words is "forty-four billion, one hundred five million, forty thousand, one hundred forty-four".