4115415305352 has 192 divisors, whose sum is σ = 11992156505280. Its totient is φ = 1169306431488.

The previous prime is 4115415305347. The next prime is 4115415305357. The reversal of 4115415305352 is 2535035145114.

4115415305352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4115415305347) and next prime (4115415305357).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 4115415305352.

It is not an unprimeable number, because it can be changed into a prime (4115415305357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4348323 + ... + 5209485.

It is an arithmetic number, because the mean of its divisors is an integer number (62459148465).

Almost surely, 2^{4115415305352} 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 4115415305352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5996078252640).

4115415305352 is an abundant number, since it is smaller than the sum of its proper divisors (7876741199928).

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

4115415305352 is a wasteful number, since it uses less digits than its factorization.

4115415305352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861272 (or 861251 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

The spelling of 4115415305352 in words is "four trillion, one hundred fifteen billion, four hundred fifteen million, three hundred five thousand, three hundred fifty-two".