1366000440 has 192 divisors, whose sum is σ = 5018371200. Its totient is φ = 295771392.

The previous prime is 1366000411. The next prime is 1366000451. The reversal of 1366000440 is 440006631.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1366000440.

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, 105607 + ... + 117833.

It is an arithmetic number, because the mean of its divisors is an integer number (26137350).

Almost surely, 2^1366000440 is an apocalyptic number.

1366000440 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 1366000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509185600).

1366000440 is an abundant number, since it is smaller than the sum of its proper divisors (3652370760).

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

1366000440 is a wasteful number, since it uses less digits than its factorization.

1366000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12274 (or 12263 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1366000440 is about 36959.4431776238. The cubic root of 1366000440 is about 1109.5586915450.

The spelling of 1366000440 in words is "one billion, three hundred sixty-six million, four hundred forty", and thus it is an aban number.