444222111140400 has 240 divisors, whose sum is σ = 1464787220680224. Its totient is φ = 115025961123840.

The previous prime is 444222111140371. The next prime is 444222111140419. The reversal of 444222111140400 is 4041111222444.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29834019 + ... + 42172418.

Almost surely, 2^{444222111140400} is an apocalyptic number.

444222111140400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444222111140400 is an abundant number, since it is smaller than the sum of its proper divisors (1020565109539824).

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

444222111140400 is a wasteful number, since it uses less digits than its factorization.

444222111140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72006608 (or 72006597 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 444222111140400 its reverse (4041111222444), we get a palindrome (448263222362844).

The spelling of 444222111140400 in words is "four hundred forty-four trillion, two hundred twenty-two billion, one hundred eleven million, one hundred forty thousand, four hundred".