1366312640 has 252 divisors, whose sum is σ = 4145456784. Its totient is φ = 419865600.

The previous prime is 1366312637. The next prime is 1366312643. The reversal of 1366312640 is 462136631.

It is an interprime number because it is at equal distance from previous prime (1366312637) and next prime (1366312643).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1366312597 and 1366312606.

It is not an unprimeable number, because it can be changed into a prime (1366312643) 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 35 ways as a sum of consecutive naturals, for example, 19243805 + ... + 19243875.

Almost surely, 2^1366312640 is an apocalyptic number.

1366312640 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 1366312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072728392).

1366312640 is an abundant number, since it is smaller than the sum of its proper divisors (2779144144).

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

1366312640 is an equidigital number, since it uses as much as digits as its factorization.

1366312640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 1366312640 is about 36963.6664848064. Note that the first 3 decimals coincide. The cubic root of 1366312640 is about 1109.6432151480.

The spelling of 1366312640 in words is "one billion, three hundred sixty-six million, three hundred twelve thousand, six hundred forty".