4440010455936 has 192 divisors, whose sum is σ = 13939591760640. Its totient is φ = 1345313817600.

The previous prime is 4440010455919. The next prime is 4440010455943. The reversal of 4440010455936 is 6395540100444.

4440010455936 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 0 + 10 + 45 + 593 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4440010455891 and 4440010455900.

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, 226857031 + ... + 226876601.

It is an arithmetic number, because the mean of its divisors is an integer number (72602040420).

Almost surely, 2^{4440010455936} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4440010455936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6969795880320).

4440010455936 is an abundant number, since it is smaller than the sum of its proper divisors (9499581304704).

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

4440010455936 is a wasteful number, since it uses less digits than its factorization.

4440010455936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37505 (or 37490 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 4440010455936 in words is "four trillion, four hundred forty billion, ten million, four hundred fifty-five thousand, nine hundred thirty-six".