4344422144400 has 360 divisors, whose sum is σ = 16345064135400. Its totient is φ = 1062217359360.

The previous prime is 4344422144357. The next prime is 4344422144411. The reversal of 4344422144400 is 44412244434.

It is a happy number.

4344422144400 is a `hidden beast` number, since 4 + 34 + 4 + 4 + 2 + 214 + 4 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4017988178064 + 326433966336 = 2004492^2 + 571344^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6661692 + ... + 7284708.

Almost surely, 2^{4344422144400} is an apocalyptic number.

4344422144400 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 4344422144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8172532067700).

4344422144400 is an abundant number, since it is smaller than the sum of its proper divisors (12000641991000).

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

4344422144400 is a wasteful number, since it uses less digits than its factorization.

4344422144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623203 (or 623189 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 4344422144400 its reverse (44412244434), we get a palindrome (4388834388834).

The spelling of 4344422144400 in words is "four trillion, three hundred forty-four billion, four hundred twenty-two million, one hundred forty-four thousand, four hundred".