444110311144040 has 32 divisors (see below), whose sum is σ = 999428863779360. Its totient is φ = 177612006465600.

The previous prime is 444110311143943. The next prime is 444110311144081. The reversal of 444110311144040 is 40441113011444.

It is a junction number, because it is equal to n+sod(n) for n = 444110311143988 and 444110311144006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1003463246 + ... + 1003905725.

It is an arithmetic number, because the mean of its divisors is an integer number (31232151993105).

Almost surely, 2^{444110311144040} is an apocalyptic number.

444110311144040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444110311144040 is an abundant number, since it is smaller than the sum of its proper divisors (555318552635320).

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

444110311144040 is a wasteful number, since it uses less digits than its factorization.

444110311144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007374513 (or 2007374509 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 444110311144040 its reverse (40441113011444), we get a palindrome (484551424155484).

The spelling of 444110311144040 in words is "four hundred forty-four trillion, one hundred ten billion, three hundred eleven million, one hundred forty-four thousand, forty".