1366396416 has 240 divisors, whose sum is σ = 4917863808. Its totient is φ = 354816000.

The previous prime is 1366396411. The next prime is 1366396453. The reversal of 1366396416 is 6146936631.

1366396416 is a `hidden beast` number, since 1 + 3 + 6 + 639 + 6 + 4 + 1 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1366396411) 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 23 ways as a sum of consecutive naturals, for example, 352891 + ... + 356741.

Almost surely, 2^1366396416 is an apocalyptic number.

1366396416 is a gapful number since it is divisible by the number (16) 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 1366396416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458931904).

1366396416 is an abundant number, since it is smaller than the sum of its proper divisors (3551467392).

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

1366396416 is a wasteful number, since it uses less digits than its factorization.

1366396416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3893 (or 3874 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 1366396416 is about 36964.7996883522. The cubic root of 1366396416 is about 1109.6658940887.

The spelling of 1366396416 in words is "one billion, three hundred sixty-six million, three hundred ninety-six thousand, four hundred sixteen".