10266609040 has 80 divisors (see below), whose sum is σ = 24851342448. Its totient is φ = 3940835328.

The previous prime is 10266609037. The next prime is 10266609049. The reversal of 10266609040 is 4090666201.

It can be written as a sum of positive squares in 8 ways, for example, as 19501056 + 10247107984 = 4416^2 + 101228^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10266609040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10266608987 and 10266609005.

It is not an unprimeable number, because it can be changed into a prime (10266609049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192324 + ... + 239836.

Almost surely, 2^10266609040 is an apocalyptic number.

10266609040 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 10266609040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12425671224).

10266609040 is an abundant number, since it is smaller than the sum of its proper divisors (14584733408).

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

10266609040 is a wasteful number, since it uses less digits than its factorization.

10266609040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47636 (or 47630 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 10266609040 in words is "ten billion, two hundred sixty-six million, six hundred nine thousand, forty".