4145169600 has 1008 divisors, whose sum is σ = 18180121120. Its totient is φ = 912384000.

The previous prime is 4145169527. The next prime is 4145169631. The reversal of 4145169600 is 69615414.

4145169600 is a `hidden beast` number, since 4 + 1 + 45 + 1 + 6 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 67953570 + ... + 67953630.

Almost surely, 2^4145169600 is an apocalyptic number.

4145169600 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 4145169600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9090060560).

4145169600 is an abundant number, since it is smaller than the sum of its proper divisors (14034951520).

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

4145169600 is a wasteful number, since it uses less digits than its factorization.

4145169600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4145169600 is about 64382.9915427980. The cubic root of 4145169600 is about 1606.3768428248.

The spelling of 4145169600 in words is "four billion, one hundred forty-five million, one hundred sixty-nine thousand, six hundred".