10066019040 has 1080 divisors, whose sum is σ = 45769650696. Its totient is φ = 2075673600.

The previous prime is 10066018943. The next prime is 10066019059. The reversal of 10066019040 is 4091066001.

10066019040 is a `hidden beast` number, since 10 + 0 + 6 + 601 + 9 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10066018995 and 10066019013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 76839775 + ... + 76839905.

Almost surely, 2^10066019040 is an apocalyptic number.

10066019040 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 10066019040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22884825348).

10066019040 is an abundant number, since it is smaller than the sum of its proper divisors (35703631656).

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

10066019040 is a wasteful number, since it uses less digits than its factorization.

10066019040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 10066019040 in words is "ten billion, sixty-six million, nineteen thousand, forty".