360144040 has 64 divisors (see below), whose sum is σ = 849949200. Its totient is φ = 137152512.

The previous prime is 360144023. The next prime is 360144053. The reversal of 360144040 is 40441063.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 92428996 + 267715044 = 9614^2 + 16362^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82554 + ... + 86806.

Almost surely, 2^360144040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360144040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424974600).

360144040 is an abundant number, since it is smaller than the sum of its proper divisors (489805160).

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

360144040 is a wasteful number, since it uses less digits than its factorization.

360144040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4366 (or 4362 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 360144040 is about 18977.4613686868. The cubic root of 360144040 is about 711.4735250825.

It can be divided in two parts, 360 and 144040, that added together give a square (144400 = 380²).

The spelling of 360144040 in words is "three hundred sixty million, one hundred forty-four thousand, forty".