4066464000 has 144 divisors (see below), whose sum is σ = 13507079040. Its totient is φ = 1084364800.

The previous prime is 4066463983. The next prime is 4066464041. The reversal of 4066464000 is 4646604.

It is a super-2 number, since 2×4066464000² = 33072258926592000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74821 + ... + 117179.

It is an arithmetic number, because the mean of its divisors is an integer number (93799160).

Almost surely, 2^4066464000 is an apocalyptic number.

4066464000 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 4066464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6753539520).

4066464000 is an abundant number, since it is smaller than the sum of its proper divisors (9440615040).

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

4066464000 is an equidigital number, since it uses as much as digits as its factorization.

4066464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42393 (or 42369 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 4066464000 is about 63768.8325124429. The cubic root of 4066464000 is about 1596.1448854342.

The spelling of 4066464000 in words is "four billion, sixty-six million, four hundred sixty-four thousand".