360536345040 has 160 divisors (see below), whose sum is σ = 1165031683200. Its totient is φ = 92118906880.

The previous prime is 360536345023. The next prime is 360536345137. The reversal of 360536345040 is 40543635063.

It is a self number, because there is not a number n which added to its sum of digits gives 360536345040.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 714046 + ... + 1109474.

It is an arithmetic number, because the mean of its divisors is an integer number (7281448020).

Almost surely, 2^360536345040 is an apocalyptic number.

360536345040 is a gapful number since it is divisible by the number (30) 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 360536345040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582515841600).

360536345040 is an abundant number, since it is smaller than the sum of its proper divisors (804495338160).

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

360536345040 is a wasteful number, since it uses less digits than its factorization.

360536345040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395605 (or 395599 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 39.

The spelling of 360536345040 in words is "three hundred sixty billion, five hundred thirty-six million, three hundred forty-five thousand, forty".