44134144400 has 60 divisors (see below), whose sum is σ = 106707798612. Its totient is φ = 17541189120.

The previous prime is 44134144277. The next prime is 44134144423. The reversal of 44134144400 is 444143144.

It can be written as a sum of positive squares in 6 ways, for example, as 598487296 + 43535657104 = 24464^2 + 208652^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288587 + ... + 414186.

Almost surely, 2^44134144400 is an apocalyptic number.

44134144400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44134144400 is an abundant number, since it is smaller than the sum of its proper divisors (62573654212).

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

44134144400 is a wasteful number, since it uses less digits than its factorization.

44134144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702948 (or 702937 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 44134144400 its reverse (444143144), we get a palindrome (44578287544).

The spelling of 44134144400 in words is "forty-four billion, one hundred thirty-four million, one hundred forty-four thousand, four hundred".