4044394735488 has 192 divisors, whose sum is σ = 11955339052800. Its totient is φ = 1311407345664.

The previous prime is 4044394735397. The next prime is 4044394735519. The reversal of 4044394735488 is 8845374934404.

4044394735488 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 39 + 473 + 54 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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, 285957345 + ... + 285971487.

It is an arithmetic number, because the mean of its divisors is an integer number (62267390900).

Almost surely, 2^{4044394735488} is an apocalyptic number.

4044394735488 is a gapful number since it is divisible by the number (48) 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 4044394735488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5977669526400).

4044394735488 is an abundant number, since it is smaller than the sum of its proper divisors (7910944317312).

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

4044394735488 is a wasteful number, since it uses less digits than its factorization.

4044394735488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20909 (or 20894 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 63.

The spelling of 4044394735488 in words is "four trillion, forty-four billion, three hundred ninety-four million, seven hundred thirty-five thousand, four hundred eighty-eight".