1266421824 has 112 divisors (see below), whose sum is σ = 3770579200. Its totient is φ = 416752128.

The previous prime is 1266421823. The next prime is 1266421831. The reversal of 1266421824 is 4281246621.

1266421824 is a `hidden beast` number, since 1 + 2 + 6 + 642 + 1 + 8 + 2 + 4 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (1266421823) 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 15 ways as a sum of consecutive naturals, for example, 131874 + ... + 141150.

Almost surely, 2^1266421824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1266421824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885289600).

1266421824 is an abundant number, since it is smaller than the sum of its proper divisors (2504157376).

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

1266421824 is an equidigital number, since it uses as much as digits as its factorization.

1266421824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9377 (or 9361 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 1266421824 is about 35586.8209313504. The cubic root of 1266421824 is about 1081.9141363433.

The spelling of 1266421824 in words is "one billion, two hundred sixty-six million, four hundred twenty-one thousand, eight hundred twenty-four".