1361365440 has 112 divisors (see below), whose sum is σ = 4576645152. Its totient is φ = 341671936.

The previous prime is 1361365433. The next prime is 1361365441. The reversal of 1361365440 is 445631631.

It is a super-2 number, since 2×1361365440² = 3706631722452787200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361365441) 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 15 ways as a sum of consecutive naturals, for example, 25389 + ... + 58028.

Almost surely, 2^1361365440 is an apocalyptic number.

1361365440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1361365440 is an abundant number, since it is smaller than the sum of its proper divisors (3215279712).

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

1361365440 is a wasteful number, since it uses less digits than its factorization.

1361365440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83454 (or 83444 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 1361365440 is about 36896.6860300488. The cubic root of 1361365440 is about 1108.3023151224.

The spelling of 1361365440 in words is "one billion, three hundred sixty-one million, three hundred sixty-five thousand, four hundred forty".