4379466812800 has 192 divisors, whose sum is σ = 10955201166000. Its totient is φ = 1729759150080.

The previous prime is 4379466812789. The next prime is 4379466812803. The reversal of 4379466812800 is 82186649734.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4379466812803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137491276 + ... + 137523124.

Almost surely, 2^{4379466812800} is an apocalyptic number.

4379466812800 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 4379466812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5477600583000).

4379466812800 is an abundant number, since it is smaller than the sum of its proper divisors (6575734353200).

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

4379466812800 is a wasteful number, since it uses less digits than its factorization.

4379466812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32413 (or 32396 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 58.

The spelling of 4379466812800 in words is "four trillion, three hundred seventy-nine billion, four hundred sixty-six million, eight hundred twelve thousand, eight hundred".