4160526400 has 42 divisors (see below), whose sum is σ = 10237499210. Its totient is φ = 1664209920.

The previous prime is 4160526397. The next prime is 4160526401. The reversal of 4160526400 is 46250614.

It can be written as a sum of positive squares in 3 ways, for example, as 16257024 + 4144269376 = 4032^2 + 64376^2 .

It is not an unprimeable number, because it can be changed into a prime (4160526401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1298565 + ... + 1301764.

Almost surely, 2^4160526400 is an apocalyptic number.

4160526400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4160526400 is an abundant number, since it is smaller than the sum of its proper divisors (6076972810).

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

4160526400 is a wasteful number, since it uses less digits than its factorization.

4160526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600351 (or 2600336 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 4160526400 is about 64502.1426000718. The cubic root of 4160526400 is about 1608.3581374347.

The spelling of 4160526400 in words is "four billion, one hundred sixty million, five hundred twenty-six thousand, four hundred".