4146075120 has 160 divisors (see below), whose sum is σ = 14759412480. Its totient is φ = 952197120.

The previous prime is 4146075113. The next prime is 4146075137. The reversal of 4146075120 is 215706414.

It is a super-3 number, since 3×4146075120³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8832 + ... + 91488.

It is an arithmetic number, because the mean of its divisors is an integer number (92246328).

Almost surely, 2^4146075120 is an apocalyptic number.

4146075120 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 4146075120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7379706240).

4146075120 is an abundant number, since it is smaller than the sum of its proper divisors (10613337360).

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

4146075120 is a wasteful number, since it uses less digits than its factorization.

4146075120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82703 (or 82697 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 4146075120 is about 64390.0234508421. The cubic root of 4146075120 is about 1606.4938063101.

The spelling of 4146075120 in words is "four billion, one hundred forty-six million, seventy-five thousand, one hundred twenty".