3966671402400 has 864 divisors, whose sum is σ = 15600293392320. Its totient is φ = 872166113280.

The previous prime is 3966671402399. The next prime is 3966671402423. The reversal of 3966671402400 is 42041766693.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3966671402400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 387251679 + ... + 387261921.

It is an arithmetic number, because the mean of its divisors is an integer number (18055895130).

Almost surely, 2^{3966671402400} is an apocalyptic number.

3966671402400 is a gapful number since it is divisible by the number (30) 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 3966671402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7800146696160).

3966671402400 is an abundant number, since it is smaller than the sum of its proper divisors (11633621989920).

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

3966671402400 is a wasteful number, since it uses less digits than its factorization.

3966671402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10406 (or 10386 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 3966671402400 in words is "three trillion, nine hundred sixty-six billion, six hundred seventy-one million, four hundred two thousand, four hundred".