1365440400 has 90 divisors (see below), whose sum is σ = 4738469970. Its totient is φ = 364116480.

The previous prime is 1365440327. The next prime is 1365440407. The reversal of 1365440400 is 40445631.

1365440400 is a `hidden beast` number, since 1 + 3 + 654 + 4 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2944656 + 1362495744 = 1716^2 + 36912^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is not an unprimeable number, because it can be changed into a prime (1365440407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 186045 + ... + 193244.

Almost surely, 2^1365440400 is an apocalyptic number.

1365440400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1365440400 is an abundant number, since it is smaller than the sum of its proper divisors (3373029570).

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

1365440400 is a wasteful number, since it uses less digits than its factorization.

1365440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379313 (or 379299 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1365440400 is about 36951.8659880662. The cubic root of 1365440400 is about 1109.4070365938.

The spelling of 1365440400 in words is "one billion, three hundred sixty-five million, four hundred forty thousand, four hundred".