4404875368320 has 1536 divisors, whose sum is σ = 18864150912000. Its totient is φ = 970251706368.

The previous prime is 4404875368307. The next prime is 4404875368321. The reversal of 4404875368320 is 238635784044.

4404875368320 is a `hidden beast` number, since 4 + 4 + 0 + 4 + 8 + 7 + 536 + 83 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404875368321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8422323579 + ... + 8422324101.

It is an arithmetic number, because the mean of its divisors is an integer number (12281348250).

Almost surely, 2^{4404875368320} is an apocalyptic number.

4404875368320 is a gapful number since it is divisible by the number (40) 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 4404875368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9432075456000).

4404875368320 is an abundant number, since it is smaller than the sum of its proper divisors (14459275543680).

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

4404875368320 is an frugal number, since it uses more digits than its factorization.

4404875368320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 4404875368320 in words is "four trillion, four hundred four billion, eight hundred seventy-five million, three hundred sixty-eight thousand, three hundred twenty".