440004483072 has 1920 divisors, whose sum is σ = 1807565760000. Its totient is φ = 105345515520.

The previous prime is 440004483013. The next prime is 440004483073. The reversal of 440004483072 is 270384400044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440004483073) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11892013038 + ... + 11892013074.

It is an arithmetic number, because the mean of its divisors is an integer number (941440500).

Almost surely, 2^440004483072 is an apocalyptic number.

440004483072 is a gapful number since it is divisible by the number (42) 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 440004483072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903782880000).

440004483072 is an abundant number, since it is smaller than the sum of its proper divisors (1367561276928).

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

440004483072 is a wasteful number, since it uses less digits than its factorization.

440004483072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 440004483072 in words is "four hundred forty billion, four million, four hundred eighty-three thousand, seventy-two".