4115450304000 has 960 divisors, whose sum is σ = 17937471606912. Its totient is φ = 885325824000.

The previous prime is 4115450303969. The next prime is 4115450304023. The reversal of 4115450304000 is 4030545114.

It is a happy number.

4115450304000 is a `hidden beast` number, since 4 + 1 + 154 + 503 + 0 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68513980 + ... + 68574020.

Almost surely, 2^{4115450304000} is an apocalyptic number.

4115450304000 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 4115450304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8968735803456).

4115450304000 is an abundant number, since it is smaller than the sum of its proper divisors (13822021302912).

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

4115450304000 is a wasteful number, since it uses less digits than its factorization.

4115450304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60104 (or 60075 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 4115450304000 its reverse (4030545114), we get a palindrome (4119480849114).

The spelling of 4115450304000 in words is "four trillion, one hundred fifteen billion, four hundred fifty million, three hundred four thousand".