44044424442000 has 120 divisors (see below), whose sum is σ = 153832493163960. Its totient is φ = 11745179846400.

The previous prime is 44044424441981. The next prime is 44044424442019. The reversal of 44044424442000 is 24442444044.

44044424442000 is a `hidden beast` number, since 4 + 4 + 0 + 4 + 4 + 4 + 2 + 444 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (44044424441981) and next prime (44044424442019).

It can be written as a sum of positive squares in 4 ways, for example, as 598555984896 + 43445868457104 = 773664^2 + 6591348^2 .

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

It is a super-2 number, since 2×44044424442000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1223438235 + ... + 1223474234.

It is an arithmetic number, because the mean of its divisors is an integer number (1281937443033).

Almost surely, 2^{44044424442000} is an apocalyptic number.

44044424442000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44044424442000 is an abundant number, since it is smaller than the sum of its proper divisors (109788068721960).

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

44044424442000 is a wasteful number, since it uses less digits than its factorization.

44044424442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446912498 (or 2446912479 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 44044424442000 its reverse (24442444044), we get a palindrome (44068866886044).

The spelling of 44044424442000 in words is "forty-four trillion, forty-four billion, four hundred twenty-four million, four hundred forty-two thousand".