5444335010000 has 200 divisors, whose sum is σ = 14075694336000. Its totient is φ = 2034809280000.

The previous prime is 5444335009973. The next prime is 5444335010011. The reversal of 5444335010000 is 105334445.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×5444335010000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8687201 + ... + 9292799.

It is an arithmetic number, because the mean of its divisors is an integer number (70378471680).

Almost surely, 2^{5444335010000} is an apocalyptic number.

5444335010000 is a gapful number since it is divisible by the number (50) 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 5444335010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7037847168000).

5444335010000 is an abundant number, since it is smaller than the sum of its proper divisors (8631359326000).

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

5444335010000 is a wasteful number, since it uses less digits than its factorization.

5444335010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605687 (or 605666 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The spelling of 5444335010000 in words is "five trillion, four hundred forty-four billion, three hundred thirty-five million, ten thousand".