44400351421200 has 120 divisors (see below), whose sum is σ = 142269237786208. Its totient is φ = 11836754519040.

The previous prime is 44400351421177. The next prime is 44400351421247. The reversal of 44400351421200 is 212415300444.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 959317 + ... + 9472116.

Almost surely, 2^{44400351421200} is an apocalyptic number.

44400351421200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44400351421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71134618893104).

44400351421200 is an abundant number, since it is smaller than the sum of its proper divisors (97868886365008).

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

44400351421200 is a wasteful number, since it uses less digits than its factorization.

44400351421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10435001 (or 10434990 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 44400351421200 its reverse (212415300444), we get a palindrome (44612766721644).

The spelling of 44400351421200 in words is "forty-four trillion, four hundred billion, three hundred fifty-one million, four hundred twenty-one thousand, two hundred".