444124341100040 has 128 divisors (see below), whose sum is σ = 1025096175734400. Its totient is φ = 173072542033920.

The previous prime is 444124341100039. The next prime is 444124341100067. The reversal of 444124341100040 is 40001143421444.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3478653326 + ... + 3478780994.

It is an arithmetic number, because the mean of its divisors is an integer number (8008563872925).

Almost surely, 2^{444124341100040} is an apocalyptic number.

444124341100040 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 444124341100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512548087867200).

444124341100040 is an abundant number, since it is smaller than the sum of its proper divisors (580971834634360).

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

444124341100040 is a wasteful number, since it uses less digits than its factorization.

444124341100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130695 (or 130691 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 444124341100040 its reverse (40001143421444), we get a palindrome (484125484521484).

The spelling of 444124341100040 in words is "four hundred forty-four trillion, one hundred twenty-four billion, three hundred forty-one million, one hundred thousand, forty".