1366424400 has 240 divisors, whose sum is σ = 4856171328. Its totient is φ = 325632000.

The previous prime is 1366424399. The next prime is 1366424413. The reversal of 1366424400 is 44246631.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 804352 + ... + 806048.

Almost surely, 2^1366424400 is an apocalyptic number.

1366424400 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 1366424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428085664).

1366424400 is an abundant number, since it is smaller than the sum of its proper divisors (3489746928).

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

1366424400 is a wasteful number, since it uses less digits than its factorization.

1366424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 1366424400 is about 36965.1782086872. The cubic root of 1366424400 is about 1109.6734694107.

The spelling of 1366424400 in words is "one billion, three hundred sixty-six million, four hundred twenty-four thousand, four hundred".