440783387044 has 192 divisors, whose sum is σ = 1097498142720. Its totient is φ = 149077739520.

The previous prime is 440783387021. The next prime is 440783387063.

440783387044 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 440783386982 and 440783387000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135249487 + ... + 135252745.

It is an arithmetic number, because the mean of its divisors is an integer number (5716136160).

Almost surely, 2^440783387044 is an apocalyptic number.

440783387044 is a gapful number since it is divisible by the number (44) 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 440783387044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548749071360).

440783387044 is an abundant number, since it is smaller than the sum of its proper divisors (656714755676).

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

440783387044 is a wasteful number, since it uses less digits than its factorization.

440783387044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5298 (or 5296 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 52.

The spelling of 440783387044 in words is "four hundred forty billion, seven hundred eighty-three million, three hundred eighty-seven thousand, forty-four".