10066127940 has 216 divisors, whose sum is σ = 34721570520. Its totient is φ = 2355978240.

The previous prime is 10066127927. The next prime is 10066127959. The reversal of 10066127940 is 4972166001.

It can be written as a sum of positive squares in 4 ways, for example, as 1806590016 + 8259537924 = 42504^2 + 90882^2 .

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 = 10066127895 and 10066127904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 623652 + ... + 639588.

Almost surely, 2^10066127940 is an apocalyptic number.

10066127940 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 10066127940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17360785260).

10066127940 is an abundant number, since it is smaller than the sum of its proper divisors (24655442580).

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

10066127940 is a wasteful number, since it uses less digits than its factorization.

10066127940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16003 (or 15987 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 10066127940 in words is "ten billion, sixty-six million, one hundred twenty-seven thousand, nine hundred forty".