1361965440 has 256 divisors, whose sum is σ = 4820601600. Its totient is φ = 324280320.

The previous prime is 1361965411. The next prime is 1361965441. The reversal of 1361965440 is 445691631.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361965441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1245534 + ... + 1246626.

It is an arithmetic number, because the mean of its divisors is an integer number (18830475).

Almost surely, 2^1361965440 is an apocalyptic number.

1361965440 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 1361965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410300800).

1361965440 is an abundant number, since it is smaller than the sum of its proper divisors (3458636160).

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

1361965440 is a wasteful number, since it uses less digits than its factorization.

1361965440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 1361965440 is about 36904.8159458898. The cubic root of 1361965440 is about 1108.4651133690.

The spelling of 1361965440 in words is "one billion, three hundred sixty-one million, nine hundred sixty-five thousand, four hundred forty".