4444038413856 has 480 divisors, whose sum is σ = 14558295628800. Its totient is φ = 1323433520640.

The previous prime is 4444038413827. The next prime is 4444038413861. The reversal of 4444038413856 is 6583148304444.

4444038413856 is a `hidden beast` number, since 4 + 44 + 40 + 384 + 138 + 56 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 80394355 + ... + 80449613.

It is an arithmetic number, because the mean of its divisors is an integer number (30329782560).

Almost surely, 2^{4444038413856} is an apocalyptic number.

4444038413856 is a gapful number since it is divisible by the number (46) 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 4444038413856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7279147814400).

4444038413856 is an abundant number, since it is smaller than the sum of its proper divisors (10114257214944).

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

4444038413856 is a wasteful number, since it uses less digits than its factorization.

4444038413856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55394 (or 55377 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 4444038413856 in words is "four trillion, four hundred forty-four billion, thirty-eight million, four hundred thirteen thousand, eight hundred fifty-six".