444023544035040 has 96 divisors (see below), whose sum is σ = 1432788167766816. Its totient is φ = 115518320394240.

The previous prime is 444023544035017. The next prime is 444023544035089. The reversal of 444023544035040 is 40530445320444.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 444023544034983 and 444023544035001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11281066297 + ... + 11281105656.

It is an arithmetic number, because the mean of its divisors is an integer number (14924876747571).

Almost surely, 2^{444023544035040} is an apocalyptic number.

444023544035040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444023544035040 is an abundant number, since it is smaller than the sum of its proper divisors (988764623731776).

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

444023544035040 is a wasteful number, since it uses less digits than its factorization.

444023544035040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22562172012 (or 22562172004 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 42.

Adding to 444023544035040 its reverse (40530445320444), we get a palindrome (484553989355484).

The spelling of 444023544035040 in words is "four hundred forty-four trillion, twenty-three billion, five hundred forty-four million, thirty-five thousand, forty".