4160457600 has 768 divisors, whose sum is σ = 16350828480. Its totient is φ = 920125440.

The previous prime is 4160457599. The next prime is 4160457601. The reversal of 4160457600 is 67540614.

It is an interprime number because it is at equal distance from previous prime (4160457599) and next prime (4160457601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4160457601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78499174 + ... + 78499226.

Almost surely, 2^4160457600 is an apocalyptic number.

4160457600 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 4160457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8175414240).

4160457600 is an abundant number, since it is smaller than the sum of its proper divisors (12190370880).

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

4160457600 is a wasteful number, since it uses less digits than its factorization.

4160457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 4160457600 is about 64501.6092822497. The cubic root of 4160457600 is about 1608.3492719180.

The spelling of 4160457600 in words is "four billion, one hundred sixty million, four hundred fifty-seven thousand, six hundred".