4115401146 has 96 divisors (see below), whose sum is σ = 9325609488. Its totient is φ = 1310515200.

The previous prime is 4115401097. The next prime is 4115401189. The reversal of 4115401146 is 6411045114.

4115401146 is a `hidden beast` number, since 4 + 1 + 1 + 540 + 114 + 6 = 666.

4115401146 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2514521025 + 1600880121 = 50145^2 + 40011^2 .

It is a super-2 number, since 2×4115401146² = 33873053184996226632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12982180 + ... + 12982496.

Almost surely, 2^4115401146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4115401146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4662804744).

4115401146 is an abundant number, since it is smaller than the sum of its proper divisors (5210208342).

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

4115401146 is a wasteful number, since it uses less digits than its factorization.

4115401146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 4115401146 is about 64151.3923933066. The cubic root of 4115401146 is about 1602.5222128227.

It can be divided in two parts, 411540 and 1146, that added together give a triangular number (412686 = T₉₀₈).

The spelling of 4115401146 in words is "four billion, one hundred fifteen million, four hundred one thousand, one hundred forty-six".