444014222150400 has 1728 divisors, whose sum is σ = 1668341434314240. Its totient is φ = 103054049280000.

The previous prime is 444014222150339. The next prime is 444014222150437. The reversal of 444014222150400 is 4051222410444.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 133377655936 + ... + 133377659264.

It is an arithmetic number, because the mean of its divisors is an integer number (965475367080).

Almost surely, 2^{444014222150400} is an apocalyptic number.

444014222150400 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 444014222150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834170717157120).

444014222150400 is an abundant number, since it is smaller than the sum of its proper divisors (1224327212163840).

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

444014222150400 is a wasteful number, since it uses less digits than its factorization.

444014222150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3694 (or 3675 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 33.

Adding to 444014222150400 its reverse (4051222410444), we get a palindrome (448065444560844).

The spelling of 444014222150400 in words is "four hundred forty-four trillion, fourteen billion, two hundred twenty-two million, one hundred fifty thousand, four hundred".