4444310422400 has 96 divisors (see below), whose sum is σ = 10980155037600. Its totient is φ = 1777510522880.

The previous prime is 4444310422369. The next prime is 4444310422463. The reversal of 4444310422400 is 42240134444.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28026536 + ... + 28184664.

It is an arithmetic number, because the mean of its divisors is an integer number (114376614975).

Almost surely, 2^{4444310422400} is an apocalyptic number.

4444310422400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444310422400 is an abundant number, since it is smaller than the sum of its proper divisors (6535844615200).

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

4444310422400 is a wasteful number, since it uses less digits than its factorization.

4444310422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166936 (or 166919 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 4444310422400 its reverse (42240134444), we get a palindrome (4486550556844).

The spelling of 4444310422400 in words is "four trillion, four hundred forty-four billion, three hundred ten million, four hundred twenty-two thousand, four hundred".