1366770240 has 448 divisors, whose sum is σ = 5359115520. Its totient is φ = 325140480.

The previous prime is 1366770227. The next prime is 1366770247. The reversal of 1366770240 is 420776631.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1366770195 and 1366770204.

It is not an unprimeable number, because it can be changed into a prime (1366770247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6937822 + ... + 6938018.

Almost surely, 2^1366770240 is an apocalyptic number.

1366770240 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 1366770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679557760).

1366770240 is an abundant number, since it is smaller than the sum of its proper divisors (3992345280).

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

1366770240 is a wasteful number, since it uses less digits than its factorization.

1366770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 1366770240 is about 36969.8558287695. The cubic root of 1366770240 is about 1109.7670804196.

The spelling of 1366770240 in words is "one billion, three hundred sixty-six million, seven hundred seventy thousand, two hundred forty".