444104015143400 has 192 divisors, whose sum is σ = 1074916545781680. Its totient is φ = 170504132198400.

The previous prime is 444104015143391. The next prime is 444104015143417. The reversal of 444104015143400 is 4341510401444.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 232688534884 + 443871326608516 = 482378^2 + 21068254^2 .

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, 236709812 + ... + 238578588.

Almost surely, 2^{444104015143400} is an apocalyptic number.

444104015143400 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 444104015143400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537458272890840).

444104015143400 is an abundant number, since it is smaller than the sum of its proper divisors (630812530638280).

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

444104015143400 is a wasteful number, since it uses less digits than its factorization.

444104015143400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869304 (or 1869295 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

Adding to 444104015143400 its reverse (4341510401444), we get a palindrome (448445525544844).

The spelling of 444104015143400 in words is "four hundred forty-four trillion, one hundred four billion, fifteen million, one hundred forty-three thousand, four hundred".