44442110020240 has 80 divisors (see below), whose sum is σ = 104021595495360. Its totient is φ = 17657830632960.

The previous prime is 44442110020177. The next prime is 44442110020303. The reversal of 44442110020240 is 4202001124444.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (44442110020177) and next prime (44442110020303).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×44442110020240³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 44442110020199 and 44442110020208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6005647 + ... + 11178193.

It is an arithmetic number, because the mean of its divisors is an integer number (1300269943692).

Almost surely, 2^{44442110020240} is an apocalyptic number.

44442110020240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44442110020240 is an abundant number, since it is smaller than the sum of its proper divisors (59579485475120).

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

44442110020240 is a wasteful number, since it uses less digits than its factorization.

44442110020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5173280 (or 5173274 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 44442110020240 its reverse (4202001124444), we get a palindrome (48644111144684).

The spelling of 44442110020240 in words is "forty-four trillion, four hundred forty-two billion, one hundred ten million, twenty thousand, two hundred forty".