4404200415345 has 48 divisors (see below), whose sum is σ = 7650810320400. Its totient is φ = 2343721443840.

The previous prime is 4404200415341. The next prime is 4404200415361. The reversal of 4404200415345 is 5435140024044.

4404200415345 is a `hidden beast` number, since 4 + 4 + 0 + 4 + 200 + 415 + 34 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 73510392384 + 4330690022961 = 271128^2 + 2081031^2 .

It is not a de Polignac number, because 4404200415345 - 2² = 4404200415341 is a prime.

It is a super-2 number, since 2×4404200415345² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4404200415341) by changing a digit.

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, 70788511 + ... + 70850699.

It is an arithmetic number, because the mean of its divisors is an integer number (159391881675).

Almost surely, 2^{4404200415345} is an apocalyptic number.

4404200415345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4404200415345 is a deficient number, since it is larger than the sum of its proper divisors (3246609905055).

4404200415345 is a wasteful number, since it uses less digits than its factorization.

4404200415345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65650 (or 65647 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 4404200415345 its reverse (5435140024044), we get a palindrome (9839340439389).

The spelling of 4404200415345 in words is "four trillion, four hundred four billion, two hundred million, four hundred fifteen thousand, three hundred forty-five".