4145195040 has 384 divisors, whose sum is σ = 16257024000. Its totient is φ = 866267136.

The previous prime is 4145195027. The next prime is 4145195077. The reversal of 4145195040 is 405915414.

It is a junction number, because it is equal to n+sod(n) for n = 4145194992 and 4145195010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1850241 + ... + 1852479.

It is an arithmetic number, because the mean of its divisors is an integer number (42336000).

Almost surely, 2^4145195040 is an apocalyptic number.

4145195040 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 4145195040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8128512000).

4145195040 is an abundant number, since it is smaller than the sum of its proper divisors (12111828960).

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

4145195040 is a wasteful number, since it uses less digits than its factorization.

4145195040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 4145195040 is about 64383.1891102017. The cubic root of 4145195040 is about 1606.3801290709.

The spelling of 4145195040 in words is "four billion, one hundred forty-five million, one hundred ninety-five thousand, forty".