4666406253000 has 256 divisors, whose sum is σ = 14867901734400. Its totient is φ = 1218096921600.

The previous prime is 4666406252951. The next prime is 4666406253001. The reversal of 4666406253000 is 3526046664.

It is not an unprimeable number, because it can be changed into a prime (4666406253001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69767574 + ... + 69834426.

It is an arithmetic number, because the mean of its divisors is an integer number (58077741150).

Almost surely, 2^{4666406253000} is an apocalyptic number.

4666406253000 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 4666406253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7433950867200).

4666406253000 is an abundant number, since it is smaller than the sum of its proper divisors (10201495481400).

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

4666406253000 is a wasteful number, since it uses less digits than its factorization.

4666406253000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67369 (or 67355 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 4666406253000 in words is "four trillion, six hundred sixty-six billion, four hundred six million, two hundred fifty-three thousand".