4666642800000 has 384 divisors, whose sum is σ = 16405187813280. Its totient is φ = 1171230720000.

The previous prime is 4666642799971. The next prime is 4666642800013. The reversal of 4666642800000 is 82466664.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20285622 + ... + 20514378.

Almost surely, 2^{4666642800000} is an apocalyptic number.

4666642800000 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 4666642800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8202593906640).

4666642800000 is an abundant number, since it is smaller than the sum of its proper divisors (11738545013280).

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

4666642800000 is an equidigital number, since it uses as much as digits as its factorization.

4666642800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228816 (or 228784 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 4666642800000 in words is "four trillion, six hundred sixty-six billion, six hundred forty-two million, eight hundred thousand".