10566743040 has 1056 divisors, whose sum is σ = 46351678464. Its totient is φ = 2170552320.

The previous prime is 10566743029. The next prime is 10566743051. The reversal of 10566743040 is 4034766501.

It is a happy number.

10566743040 is a `hidden beast` number, since 10 + 566 + 7 + 43 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (10566743029) and next prime (10566743051).

It is a super-2 number, since 2×10566743040² (a number of 21 digits) contains 22 as substring.

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 = 10566742986 and 10566743004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 224824297 + ... + 224824343.

Almost surely, 2^10566743040 is an apocalyptic number.

10566743040 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 10566743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23175839232).

10566743040 is an abundant number, since it is smaller than the sum of its proper divisors (35784935424).

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

10566743040 is a wasteful number, since it uses less digits than its factorization.

10566743040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 10566743040 in words is "ten billion, five hundred sixty-six million, seven hundred forty-three thousand, forty".