2066316314040 has 384 divisors, whose sum is σ = 7417616057280. Its totient is φ = 494695219200.

The previous prime is 2066316314021. The next prime is 2066316314057. The reversal of 2066316314040 is 404136136602.

2066316314040 is a `hidden beast` number, since 2 + 0 + 6 + 631 + 6 + 3 + 14 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×2066316314040² (a number of 25 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 = 2066316313986 and 2066316314004.

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, 125733664 + ... + 125750096.

Almost surely, 2^{2066316314040} is an apocalyptic number.

2066316314040 is a gapful number since it is divisible by the number (20) 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 2066316314040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3708808028640).

2066316314040 is an abundant number, since it is smaller than the sum of its proper divisors (5351299743240).

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

2066316314040 is a wasteful number, since it uses less digits than its factorization.

2066316314040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16855 (or 16848 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 2066316314040 in words is "two trillion, sixty-six billion, three hundred sixteen million, three hundred fourteen thousand, forty".