4466403704400 has 240 divisors, whose sum is σ = 15631694084928. Its totient is φ = 1081124352000.

The previous prime is 4466403704377. The next prime is 4466403704467. The reversal of 4466403704400 is 44073046644.

It is a tau number, because it is divible by the number of its divisors (240).

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, 8469252 + ... + 8981148.

Almost surely, 2^{4466403704400} is an apocalyptic number.

4466403704400 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 4466403704400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7815847042464).

4466403704400 is an abundant number, since it is smaller than the sum of its proper divisors (11165290380528).

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

4466403704400 is a wasteful number, since it uses less digits than its factorization.

4466403704400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512590 (or 512579 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 42.

The spelling of 4466403704400 in words is "four trillion, four hundred sixty-six billion, four hundred three million, seven hundred four thousand, four hundred".