4436494013952 has 960 divisors, whose sum is σ = 17611467793920. Its totient is φ = 1037706854400.

The previous prime is 4436494013927. The next prime is 4436494014013. The reversal of 4436494013952 is 2593104946344.

It is a happy number.

4436494013952 is a `hidden beast` number, since 44 + 36 + 494 + 0 + 1 + 39 + 52 = 666.

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, 189105199 + ... + 189128657.

It is an arithmetic number, because the mean of its divisors is an integer number (18345278952).

Almost surely, 2^{4436494013952} is an apocalyptic number.

4436494013952 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 4436494013952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8805733896960).

4436494013952 is an abundant number, since it is smaller than the sum of its proper divisors (13174973779968).

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

4436494013952 is a wasteful number, since it uses less digits than its factorization.

4436494013952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23555 (or 23536 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 4436494013952 in words is "four trillion, four hundred thirty-six billion, four hundred ninety-four million, thirteen thousand, nine hundred fifty-two".