1266085440 has 84 divisors (see below), whose sum is σ = 4354816284. Its totient is φ = 337622016.

The previous prime is 1266085433. The next prime is 1266085459. The reversal of 1266085440 is 445806621.

1266085440 is a `hidden beast` number, since 1 + 2 + 6 + 608 + 5 + 4 + 40 = 666.

1266085440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 954068544 + 312016896 = 30888^2 + 17664^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 1266085395 and 1266085404.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216927 + ... + 222686.

It is an arithmetic number, because the mean of its divisors is an integer number (51843051).

Almost surely, 2^1266085440 is an apocalyptic number.

1266085440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1266085440 is an abundant number, since it is smaller than the sum of its proper divisors (3088730844).

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

1266085440 is a wasteful number, since it uses less digits than its factorization.

1266085440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439636 (or 439623 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1266085440 is about 35582.0943734345. The cubic root of 1266085440 is about 1081.8183360274.

The spelling of 1266085440 in words is "one billion, two hundred sixty-six million, eighty-five thousand, four hundred forty".