1966946711040 has 480 divisors, whose sum is σ = 7005918306816. Its totient is φ = 509634478080.

The previous prime is 1966946711039. The next prime is 1966946711047. The reversal of 1966946711040 is 401176496691.

1966946711040 is a `hidden beast` number, since 1 + 9 + 6 + 69 + 467 + 110 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1966946711047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 931759585 + ... + 931761695.

Almost surely, 2^{1966946711040} is an apocalyptic number.

1966946711040 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 1966946711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502959153408).

1966946711040 is an abundant number, since it is smaller than the sum of its proper divisors (5038971595776).

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

1966946711040 is a wasteful number, since it uses less digits than its factorization.

1966946711040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3270 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 1966946711040 in words is "one trillion, nine hundred sixty-six billion, nine hundred forty-six million, seven hundred eleven thousand, forty".