444004440040 has 64 divisors (see below), whose sum is σ = 1141817938560. Its totient is φ = 152217795840.

The previous prime is 444004440023. The next prime is 444004440059. The reversal of 444004440040 is 40044400444.

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

It is a junction number, because it is equal to n+sod(n) for n = 444004439990 and 444004440008.

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, 3830130 + ... + 3944350.

It is an arithmetic number, because the mean of its divisors is an integer number (17840905290).

Almost surely, 2^444004440040 is an apocalyptic number.

444004440040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444004440040 is an abundant number, since it is smaller than the sum of its proper divisors (697813498520).

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

444004440040 is a wasteful number, since it uses less digits than its factorization.

444004440040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128122 (or 128118 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 444004440040 its reverse (40044400444), we get a palindrome (484048840484).

It can be divided in two parts, 4 and 44004440040, that added together give a palindrome (44004440044).

The spelling of 444004440040 in words is "four hundred forty-four billion, four million, four hundred forty thousand, forty".