44432141214400 has 42 divisors (see below), whose sum is σ = 109330837479620. Its totient is φ = 17772856485120.

The previous prime is 44432141214371. The next prime is 44432141214403. The reversal of 44432141214400 is 441214123444.

It is not an unprimeable number, because it can be changed into a prime (44432141214403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13885042530 + ... + 13885045729.

Almost surely, 2^{44432141214400} is an apocalyptic number.

44432141214400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44432141214400 is an abundant number, since it is smaller than the sum of its proper divisors (64898696265220).

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

44432141214400 is a wasteful number, since it uses less digits than its factorization.

44432141214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27770088281 (or 27770088266 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 44432141214400 its reverse (441214123444), we get a palindrome (44873355337844).

The spelling of 44432141214400 in words is "forty-four trillion, four hundred thirty-two billion, one hundred forty-one million, two hundred fourteen thousand, four hundred".