1966420468320 has 768 divisors, whose sum is σ = 7982849064960. Its totient is φ = 395069644800.

The previous prime is 1966420468253. The next prime is 1966420468361. The reversal of 1966420468320 is 238640246691.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 133011649 + ... + 133026431.

It is an arithmetic number, because the mean of its divisors is an integer number (10394334720).

Almost surely, 2^{1966420468320} is an apocalyptic number.

1966420468320 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 1966420468320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991424532480).

1966420468320 is an abundant number, since it is smaller than the sum of its proper divisors (6016428596640).

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

1966420468320 is a wasteful number, since it uses less digits than its factorization.

1966420468320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14939 (or 14931 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 1966420468320 in words is "one trillion, nine hundred sixty-six billion, four hundred twenty million, four hundred sixty-eight thousand, three hundred twenty".