44202022244400 has 120 divisors (see below), whose sum is σ = 146476356587280. Its totient is φ = 11380750545920.

The previous prime is 44202022244389. The next prime is 44202022244411. The reversal of 44202022244400 is 444222020244.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (44202022244389) and next prime (44202022244411).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 635051727 + ... + 635121326.

It is an arithmetic number, because the mean of its divisors is an integer number (1220636304894).

Almost surely, 2^{44202022244400} is an apocalyptic number.

44202022244400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44202022244400 is an abundant number, since it is smaller than the sum of its proper divisors (102274334342880).

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

44202022244400 is a wasteful number, since it uses less digits than its factorization.

44202022244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270173103 (or 1270173092 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 44202022244400 its reverse (444222020244), we get a palindrome (44646244264644).

The spelling of 44202022244400 in words is "forty-four trillion, two hundred two billion, twenty-two million, two hundred forty-four thousand, four hundred".