44027499110400 has 1344 divisors, whose sum is σ = 175133300126400. Its totient is φ = 10779057192960.

The previous prime is 44027499110389. The next prime is 44027499110431. The reversal of 44027499110400 is 401199472044.

44027499110400 is a `hidden beast` number, since 4 + 4 + 0 + 2 + 7 + 499 + 110 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 14161304046 + ... + 14161307154.

It is an arithmetic number, because the mean of its divisors is an integer number (130307514975).

Almost surely, 2^{44027499110400} is an apocalyptic number.

44027499110400 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 44027499110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87566650063200).

44027499110400 is an abundant number, since it is smaller than the sum of its proper divisors (131105801016000).

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

44027499110400 is a wasteful number, since it uses less digits than its factorization.

44027499110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3364 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 44027499110400 in words is "forty-four trillion, twenty-seven billion, four hundred ninety-nine million, one hundred ten thousand, four hundred".