1966314470400 has 792 divisors, whose sum is σ = 8129694562080. Its totient is φ = 444774481920.

The previous prime is 1966314470347. The next prime is 1966314470447. The reversal of 1966314470400 is 40744136691.

1966314470400 is a `hidden beast` number, since 1 + 9 + 6 + 631 + 4 + 4 + 7 + 0 + 4 + 0 + 0 = 666.

It is a super-3 number, since 3×1966314470400³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 156435316 + ... + 156447884.

Almost surely, 2^{1966314470400} is an apocalyptic number.

1966314470400 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 1966314470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064847281040).

1966314470400 is an abundant number, since it is smaller than the sum of its proper divisors (6163380091680).

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

1966314470400 is a wasteful number, since it uses less digits than its factorization.

1966314470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12709 (or 12683 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1966314470400 in words is "one trillion, nine hundred sixty-six billion, three hundred fourteen million, four hundred seventy thousand, four hundred".