440040444000 has 384 divisors, whose sum is σ = 1528450560000. Its totient is φ = 110291148800.

The previous prime is 440040443963. The next prime is 440040444013. The reversal of 440040444000 is 444040044.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 293555251 + ... + 293556749.

It is an arithmetic number, because the mean of its divisors is an integer number (3980340000).

Almost surely, 2^440040444000 is an apocalyptic number.

440040444000 is a gapful number since it is divisible by the number (40) 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 440040444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764225280000).

440040444000 is an abundant number, since it is smaller than the sum of its proper divisors (1088410116000).

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

440040444000 is a wasteful number, since it uses less digits than its factorization.

440040444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983 (or 2965 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 440040444000 its reverse (444040044), we get a palindrome (440484484044).

The spelling of 440040444000 in words is "four hundred forty billion, forty million, four hundred forty-four thousand".