144795470400 has 945 divisors, whose sum is σ = 623254033017. Its totient is φ = 32876928000.

The previous prime is 144795470329. The next prime is 144795470467. The reversal of 144795470400 is 4074597441.

The square root of 144795470400 is 380520.

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

144795470400 is a `hidden beast` number, since 14 + 47 + 95 + 470 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52126369344 + 92669101056 = 228312^2 + 304416^2 .

It is a tau number, because it is divible by the number of its divisors (945).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 958910325 + ... + 958910475.

Almost surely, 2^144795470400 is an apocalyptic number.

144795470400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144795470400 is the 380520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144795470400

144795470400 is an abundant number, since it is smaller than the sum of its proper divisors (478458562617).

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

144795470400 is an equidigital number, since it uses as much as digits as its factorization.

144795470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 144795470400 in words is "one hundred forty-four billion, seven hundred ninety-five million, four hundred seventy thousand, four hundred".