4405001120352 has 288 divisors, whose sum is σ = 14617082188800. Its totient is φ = 1257825703680.

The previous prime is 4405001120347. The next prime is 4405001120431. The reversal of 4405001120352 is 2530211005044.

4405001120352 is a `hidden beast` number, since 4 + 4 + 0 + 500 + 1 + 120 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178885513 + ... + 178910135.

It is an arithmetic number, because the mean of its divisors is an integer number (50753757600).

Almost surely, 2^{4405001120352} is an apocalyptic number.

4405001120352 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 4405001120352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7308541094400).

4405001120352 is an abundant number, since it is smaller than the sum of its proper divisors (10212081068448).

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

4405001120352 is a wasteful number, since it uses less digits than its factorization.

4405001120352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26471 (or 26446 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 4405001120352 its reverse (2530211005044), we get a palindrome (6935212125396).

The spelling of 4405001120352 in words is "four trillion, four hundred five billion, one million, one hundred twenty thousand, three hundred fifty-two".