4044808901952 has 504 divisors, whose sum is σ = 14534432406312. Its totient is φ = 1065996288000.

The previous prime is 4044808901911. The next prime is 4044808901971. The reversal of 4044808901952 is 2591098084404.

It is a happy number.

4044808901952 is a `hidden beast` number, since 4 + 0 + 448 + 0 + 8 + 9 + 0 + 195 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 212203950336 + 3832604951616 = 460656^2 + 1957704^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 660805452 + ... + 660811572.

Almost surely, 2^{4044808901952} is an apocalyptic number.

4044808901952 is a gapful number since it is divisible by the number (42) 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 4044808901952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7267216203156).

4044808901952 is an abundant number, since it is smaller than the sum of its proper divisors (10489623504360).

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

4044808901952 is a wasteful number, since it uses less digits than its factorization.

4044808901952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7967 (or 7947 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 4044808901952 in words is "four trillion, forty-four billion, eight hundred eight million, nine hundred one thousand, nine hundred fifty-two".