4422723698400 has 576 divisors, whose sum is σ = 16995768201216. Its totient is φ = 977577984000.

The previous prime is 4422723698381. The next prime is 4422723698413. The reversal of 4422723698400 is 48963272244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1037952270 + ... + 1037956530.

It is an arithmetic number, because the mean of its divisors is an integer number (29506542016).

Almost surely, 2^{4422723698400} is an apocalyptic number.

4422723698400 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 4422723698400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8497884100608).

4422723698400 is an abundant number, since it is smaller than the sum of its proper divisors (12573044502816).

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

4422723698400 is a wasteful number, since it uses less digits than its factorization.

4422723698400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6315 (or 6302 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 51.

The spelling of 4422723698400 in words is "four trillion, four hundred twenty-two billion, seven hundred twenty-three million, six hundred ninety-eight thousand, four hundred".