4415343661312 has 72 divisors (see below), whose sum is σ = 8936069105880. Its totient is φ = 2176967393280.

The previous prime is 4415343661303. The next prime is 4415343661319. The reversal of 4415343661312 is 2131663435144.

It can be written as a sum of positive squares in 4 ways, for example, as 587467063296 + 3827876598016 = 766464^2 + 1956496^2 .

It is a super-3 number, since 3×4415343661312³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (4415343661319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98295114 + ... + 98340022.

It is an arithmetic number, because the mean of its divisors is an integer number (124112070915).

Almost surely, 2^{4415343661312} 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 4415343661312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4468034552940).

4415343661312 is an abundant number, since it is smaller than the sum of its proper divisors (4520725444568).

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

4415343661312 is an equidigital number, since it uses as much as digits as its factorization.

4415343661312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50259 (or 50245 counting only the distinct ones).

The product of its digits is 622080, while the sum is 43.

The spelling of 4415343661312 in words is "four trillion, four hundred fifteen billion, three hundred forty-three million, six hundred sixty-one thousand, three hundred twelve".