10342287360 has 480 divisors, whose sum is σ = 38184826680. Its totient is φ = 2675441664.

The previous prime is 10342287359. The next prime is 10342287367. The reversal of 10342287360 is 6378224301.

It is a happy number.

10342287360 is a `hidden beast` number, since 1 + 0 + 342 + 287 + 36 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9087427584 + 1254859776 = 95328^2 + 35424^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10342287367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30689112 + ... + 30689448.

Almost surely, 2^10342287360 is an apocalyptic number.

10342287360 is a gapful number since it is divisible by the number (10) 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 10342287360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19092413340).

10342287360 is an abundant number, since it is smaller than the sum of its proper divisors (27842539320).

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

10342287360 is an equidigital number, since it uses as much as digits as its factorization.

10342287360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 10342287360 in words is "ten billion, three hundred forty-two million, two hundred eighty-seven thousand, three hundred sixty".