1361359296 has 336 divisors, whose sum is σ = 4564684800. Its totient is φ = 383846400.

The previous prime is 1361359193. The next prime is 1361359319. The reversal of 1361359296 is 6929531631.

1361359296 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 359 + 296 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5695945 + ... + 5696183.

Almost surely, 2^1361359296 is an apocalyptic number.

1361359296 is a gapful number since it is divisible by the number (16) 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 1361359296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282342400).

1361359296 is an abundant number, since it is smaller than the sum of its proper divisors (3203325504).

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

1361359296 is a wasteful number, since it uses less digits than its factorization.

1361359296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 315 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The square root of 1361359296 is about 36896.6027704449. The cubic root of 1361359296 is about 1108.3006478210.

The spelling of 1361359296 in words is "one billion, three hundred sixty-one million, three hundred fifty-nine thousand, two hundred ninety-six".