160144032400 has 405 divisors, whose sum is σ = 453480396187. Its totient is φ = 54296422400.

The previous prime is 160144032397. The next prime is 160144032403. The reversal of 160144032400 is 4230441061.

The square root of 160144032400 is 400180.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (160144032397) and next prime (160144032403).

It can be written as a sum of positive squares in 4 ways, for example, as 3745929616 + 156398102784 = 61204^2 + 395472^2 .

It is a super-2 number, since 2×160144032400² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (160144032403) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1496673147 + ... + 1496673253.

Almost surely, 2^160144032400 is an apocalyptic number.

160144032400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

160144032400 is the 400180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 160144032400

160144032400 is an abundant number, since it is smaller than the sum of its proper divisors (293336363787).

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

160144032400 is a wasteful number, since it uses less digits than its factorization.

160144032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Multiplying 160144032400 by its sum of digits (25), we get a square (4003600810000 = 2000900²).

160144032400 divided by its sum of digits (25) gives a square (6405761296 = 80036²).

Multiplying 160144032400 by its product of nonzero digits (2304), we get a square (368971850649600 = 19208640²).

Adding to 160144032400 its reverse (4230441061), we get a palindrome (164374473461).

The spelling of 160144032400 in words is "one hundred sixty billion, one hundred forty-four million, thirty-two thousand, four hundred".