4462406166400 has 288 divisors, whose sum is σ = 13809712918680. Its totient is φ = 1412277350400.

The previous prime is 4462406166377. The next prime is 4462406166401. The reversal of 4462406166400 is 46616042644.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4462406166401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 943815 + ... + 3132985.

Almost surely, 2^{4462406166400} is an apocalyptic number.

4462406166400 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 4462406166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6904856459340).

4462406166400 is an abundant number, since it is smaller than the sum of its proper divisors (9347306752280).

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

4462406166400 is a wasteful number, since it uses less digits than its factorization.

4462406166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189222 (or 2189198 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 43.

The spelling of 4462406166400 in words is "four trillion, four hundred sixty-two billion, four hundred six million, one hundred sixty-six thousand, four hundred".