4115316205000 has 960 divisors, whose sum is σ = 13319244227520. Its totient is φ = 1171296000000.

The previous prime is 4115316204943. The next prime is 4115316205001. The reversal of 4115316205000 is 5026135114.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 4115316205000.

It is not an unprimeable number, because it can be changed into a prime (4115316205001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3538534419 + ... + 3538535581.

It is an arithmetic number, because the mean of its divisors is an integer number (13874212737).

Almost surely, 2^{4115316205000} is an apocalyptic number.

4115316205000 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 4115316205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6659622113760).

4115316205000 is an abundant number, since it is smaller than the sum of its proper divisors (9203928022520).

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

4115316205000 is a wasteful number, since it uses less digits than its factorization.

4115316205000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 4115316205000 in words is "four trillion, one hundred fifteen billion, three hundred sixteen million, two hundred five thousand".