1365161280 has 224 divisors, whose sum is σ = 5048365824. Its totient is φ = 306069504.

The previous prime is 1365161269. The next prime is 1365161309. The reversal of 1365161280 is 821615631.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1365161280² = 3727330640822476800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354244 + ... + 358076.

Almost surely, 2^1365161280 is an apocalyptic number.

1365161280 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 1365161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2524182912).

1365161280 is an abundant number, since it is smaller than the sum of its proper divisors (3683204544).

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

1365161280 is a wasteful number, since it uses less digits than its factorization.

1365161280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3913 (or 3903 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 1365161280 is about 36948.0889898246. The cubic root of 1365161280 is about 1109.3314373478.

The spelling of 1365161280 in words is "one billion, three hundred sixty-five million, one hundred sixty-one thousand, two hundred eighty".