1365282240 has 672 divisors, whose sum is σ = 5689274880. Its totient is φ = 270729216.

The previous prime is 1365282227. The next prime is 1365282241. The reversal of 1365282240 is 422825631.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1365282241) 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 95 ways as a sum of consecutive naturals, for example, 36899502 + ... + 36899538.

Almost surely, 2^1365282240 is an apocalyptic number.

1365282240 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 1365282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844637440).

1365282240 is an abundant number, since it is smaller than the sum of its proper divisors (4323992640).

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

1365282240 is a wasteful number, since it uses less digits than its factorization.

1365282240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 1365282240 is about 36949.7258447204. The cubic root of 1365282240 is about 1109.3642004530.

The spelling of 1365282240 in words is "one billion, three hundred sixty-five million, two hundred eighty-two thousand, two hundred forty".