44440251120000 has 480 divisors, whose sum is σ = 159864406295880. Its totient is φ = 11846006784000.

The previous prime is 44440251119993. The next prime is 44440251120007. The reversal of 44440251120000 is 2115204444.

44440251120000 is a `hidden beast` number, since 4 + 4 + 4 + 402 + 51 + 1 + 200 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (44440251119993) and next prime (44440251120007).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×44440251120000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44440251120007) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 2039749107 + ... + 2039770893.

Almost surely, 2^{44440251120000} is an apocalyptic number.

44440251120000 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 44440251120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79932203147940).

44440251120000 is an abundant number, since it is smaller than the sum of its proper divisors (115424155175880).

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

44440251120000 is a wasteful number, since it uses less digits than its factorization.

44440251120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24660 (or 24630 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 44440251120000 its reverse (2115204444), we get a palindrome (44442366324444).

The spelling of 44440251120000 in words is "forty-four trillion, four hundred forty billion, two hundred fifty-one million, one hundred twenty thousand".