4197966000 has 160 divisors (see below), whose sum is σ = 13675666368. Its totient is φ = 1107763200.

The previous prime is 4197965999. The next prime is 4197966023. The reversal of 4197966000 is 6697914.

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 31 ways as a sum of consecutive naturals, for example, 578394 + ... + 585606.

Almost surely, 2^4197966000 is an apocalyptic number.

4197966000 is a gapful number since it is divisible by the number (40) 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 4197966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6837833184).

4197966000 is an abundant number, since it is smaller than the sum of its proper divisors (9477700368).

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

4197966000 is a wasteful number, since it uses less digits than its factorization.

4197966000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7336 (or 7320 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 4197966000 is about 64791.7124329956. The cubic root of 4197966000 is about 1613.1681504872.

The spelling of 4197966000 in words is "four billion, one hundred ninety-seven million, nine hundred sixty-six thousand".