10461066440 has 128 divisors (see below), whose sum is σ = 26422830720. Its totient is φ = 3695155200.

The previous prime is 10461066431. The next prime is 10461066443. The reversal of 10461066440 is 4466016401.

10461066440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10461066440² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10461066397 and 10461066406.

It is not an unprimeable number, because it can be changed into a prime (10461066443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2149610 + ... + 2154470.

It is an arithmetic number, because the mean of its divisors is an integer number (206428365).

Almost surely, 2^10461066440 is an apocalyptic number.

10461066440 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 10461066440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13211415360).

10461066440 is an abundant number, since it is smaller than the sum of its proper divisors (15961764280).

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

10461066440 is a wasteful number, since it uses less digits than its factorization.

10461066440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5023 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 10461066440 in words is "ten billion, four hundred sixty-one million, sixty-six thousand, four hundred forty".