4666455020400 has 120 divisors (see below), whose sum is σ = 14961841581744. Its totient is φ = 1243253299200.

The previous prime is 4666455020393. The next prime is 4666455020401. The reversal of 4666455020400 is 40205546664.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4666455020401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 456031 + ... + 3088830.

Almost surely, 2^{4666455020400} is an apocalyptic number.

4666455020400 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 4666455020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7480920790872).

4666455020400 is an abundant number, since it is smaller than the sum of its proper divisors (10295386561344).

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

4666455020400 is a wasteful number, since it uses less digits than its factorization.

4666455020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3545979 (or 3545968 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 4666455020400 in words is "four trillion, six hundred sixty-six billion, four hundred fifty-five million, twenty thousand, four hundred".