10066930440 has 384 divisors, whose sum is σ = 36024912000. Its totient is φ = 2243469312.

The previous prime is 10066930427. The next prime is 10066930441. The reversal of 10066930440 is 4403966001.

It is not an unprimeable number, because it can be changed into a prime (10066930441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72423891 + ... + 72424029.

It is an arithmetic number, because the mean of its divisors is an integer number (93814875).

Almost surely, 2^10066930440 is an apocalyptic number.

10066930440 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 10066930440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18012456000).

10066930440 is an abundant number, since it is smaller than the sum of its proper divisors (25957981560).

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

10066930440 is a wasteful number, since it uses less digits than its factorization.

10066930440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

It can be divided in two parts, 10066 and 930440, that added together give a triangular number (940506 = T₁₃₇₁).

The spelling of 10066930440 in words is "ten billion, sixty-six million, nine hundred thirty thousand, four hundred forty".