444032240100400 has 120 divisors (see below), whose sum is σ = 1258514235044864. Its totient is φ = 147328669497600.

The previous prime is 444032240100367. The next prime is 444032240100401. The reversal of 444032240100400 is 4001042230444.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (444032240100401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2557702602 + ... + 2557876201.

Almost surely, 2^{444032240100400} is an apocalyptic number.

444032240100400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444032240100400 is an abundant number, since it is smaller than the sum of its proper divisors (814481994944464).

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

444032240100400 is a wasteful number, since it uses less digits than its factorization.

444032240100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5115578859 (or 5115578848 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 444032240100400 its reverse (4001042230444), we get a palindrome (448033282330844).

The spelling of 444032240100400 in words is "four hundred forty-four trillion, thirty-two billion, two hundred forty million, one hundred thousand, four hundred".