4115120587776 has 891 divisors, whose sum is σ = 13998071845303. Its totient is φ = 1163266621440.

The previous prime is 4115120587639. The next prime is 4115120587847. The reversal of 4115120587776 is 6777850215114.

It is a happy number.

The square root of 4115120587776 is 2028576.

It is a perfect power (a square), and thus also a powerful number.

4115120587776 is a `hidden beast` number, since 4 + 1 + 1 + 51 + 2 + 0 + 587 + 7 + 7 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 502079947776 + 3613040640000 = 708576^2 + 1900800^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 36416996296 + ... + 36416996408.

Almost surely, 2^{4115120587776} is an apocalyptic number.

4115120587776 is the 2028576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4115120587776

4115120587776 is an abundant number, since it is smaller than the sum of its proper divisors (9882951257527).

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

4115120587776 is a wasteful number, since it uses less digits than its factorization.

4115120587776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 54.

The spelling of 4115120587776 in words is "four trillion, one hundred fifteen billion, one hundred twenty million, five hundred eighty-seven thousand, seven hundred seventy-six".