1363722240 has 240 divisors, whose sum is σ = 4529710080. Its totient is φ = 349962240.

The previous prime is 1363722229. The next prime is 1363722247. The reversal of 1363722240 is 422273631.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1363722198 and 1363722207.

It is not an unprimeable number, because it can be changed into a prime (1363722247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7618471 + ... + 7618649.

It is an arithmetic number, because the mean of its divisors is an integer number (18873792).

Almost surely, 2^1363722240 is an apocalyptic number.

1363722240 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 1363722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264855040).

1363722240 is an abundant number, since it is smaller than the sum of its proper divisors (3165987840).

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

1363722240 is an equidigital number, since it uses as much as digits as its factorization.

1363722240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 1363722240 is about 36928.6100469541. The cubic root of 1363722240 is about 1108.9415118533.

Adding to 1363722240 its reverse (422273631), we get a palindrome (1785995871).

The spelling of 1363722240 in words is "one billion, three hundred sixty-three million, seven hundred twenty-two thousand, two hundred forty".