360959438401 has 27 divisors (see below), whose sum is σ = 385948862721. Its totient is φ = 337538490984.

The previous prime is 360959438347. The next prime is 360959438447. The reversal of 360959438401 is 104834959063.

It is a happy number.

The square root of 360959438401 is 600799.

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

It is not a de Polignac number, because 360959438401 - 2¹¹ = 360959436353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (360959438501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1175763490 + ... + 1175763796.

It is an arithmetic number, because the mean of its divisors is an integer number (14294402323).

Almost surely, 2^360959438401 is an apocalyptic number.

360959438401 is the 600799-th square number.

360959438401 is the 300400-th centered octagonal number.

It is an amenable number.

360959438401 is a deficient number, since it is larger than the sum of its proper divisors (24989424320).

360959438401 is an frugal number, since it uses more digits than its factorization.

360959438401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 52.

The spelling of 360959438401 in words is "three hundred sixty billion, nine hundred fifty-nine million, four hundred thirty-eight thousand, four hundred one".