444024141400000 has 672 divisors, whose sum is σ = 1300111291551744. Its totient is φ = 147228364800000.

The previous prime is 444024141399973. The next prime is 444024141400013. The reversal of 444024141400000 is 4141420444.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98387797744 + ... + 98387802256.

It is an arithmetic number, because the mean of its divisors is an integer number (1934689421952).

Almost surely, 2^{444024141400000} is an apocalyptic number.

444024141400000 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 444024141400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650055645775872).

444024141400000 is an abundant number, since it is smaller than the sum of its proper divisors (856087150151744).

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

444024141400000 is an equidigital number, since it uses as much as digits as its factorization.

444024141400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6855 (or 6825 counting only the distinct ones).

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

Adding to 444024141400000 its reverse (4141420444), we get a palindrome (444028282820444).

The spelling of 444024141400000 in words is "four hundred forty-four trillion, twenty-four billion, one hundred forty-one million, four hundred thousand".